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131213321323032 = 23313670376438209
BaseRepresentation
bin11101110101011001111011…
…011010000100001000011000
3122012120212111222010201112210
4131311121323122010020120
5114144244340224314112
61143022322340435120
736431564264611134
oct3565317332041030
9565525458121483
10131213321323032
11388992911874a3
121287202b9a8aa0
13582a494997050
142458a899b63c4
15102825da07b3c
hex77567b684218

131213321323032 has 128 divisors (see below), whose sum is σ = 353408611046400. Its totient is φ = 40357108058112.

The previous prime is 131213321323031. The next prime is 131213321323067. The reversal of 131213321323032 is 230323123312131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213321323031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15984076944 + ... + 15984085152.

It is an arithmetic number, because the mean of its divisors is an integer number (2761004773800).

Almost surely, 2131213321323032 is an apocalyptic number.

131213321323032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131213321323032 is an abundant number, since it is smaller than the sum of its proper divisors (222195289723368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131213321323032 is a wasteful number, since it uses less digits than its factorization.

131213321323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22577 (or 22573 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 131213321323032 its reverse (230323123312131), we get a palindrome (361536444635163).

The spelling of 131213321323032 in words is "one hundred thirty-one trillion, two hundred thirteen billion, three hundred twenty-one million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 6703 7643 8209 13406 15286 16418 20109 22929 24627 26812 30572 32836 40218 45858 49254 53624 61144 65672 80436 87139 91716 98508 99359 106717 160872 174278 183432 197016 198718 213434 261417 298077 320151 348556 397436 426868 522834 596154 640302 697112 794872 853736 1045668 1192308 1280604 2091336 2384616 2561208 51231029 55024927 62741387 102462058 110049854 125482774 153693087 165074781 188224161 204924116 220099708 250965548 307386174 330149562 376448322 409848232 440199416 501931096 614772348 660299124 666003377 715324051 752896644 815638031 1229544696 1320598248 1332006754 1430648102 1505793288 1631276062 1998010131 2145972153 2446914093 2664013508 2861296204 3262552124 3996020262 4291944306 4893828186 5328027016 5722592408 6525104248 7992040524 8583888612 9787656372 15984081048 17167777224 19575312744 420555517061 841111034122 1261666551183 1682222068244 2523333102366 3364444136488 5046666204732 5467221721793 10093332409464 10934443443586 16401665165379 21868886887172 32803330330758 43737773774344 65606660661516 131213321323032