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131321100330012 = 223674671171298679
BaseRepresentation
bin11101110110111110010011…
…100010010110010000011100
3122012222011201021100120021010
4131312332103202112100130
5114203031103141030022
61143144025230535220
736442431200216235
oct3566762342262034
9565864637316233
10131321100330012
113892aa6966968a
121288aaaa967510
1358376accc21a8
14245dd91c1608c
15102ae6ab3850c
hex776f9389641c

131321100330012 has 96 divisors (see below), whose sum is σ = 311922391173120. Its totient is φ = 42991137858240.

The previous prime is 131321100330011. The next prime is 131321100330029. The reversal of 131321100330012 is 210033001123131.

It is a happy number.

131321100330012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321100330011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439523689 + ... + 439822367.

It is an arithmetic number, because the mean of its divisors is an integer number (3249191574720).

Almost surely, 2131321100330012 is an apocalyptic number.

131321100330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131321100330012 is an abundant number, since it is smaller than the sum of its proper divisors (180601290843108).

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

131321100330012 is a wasteful number, since it uses less digits than its factorization.

131321100330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300391 (or 300389 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131321100330012 its reverse (210033001123131), we get a palindrome (341354101453143).

The spelling of 131321100330012 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, one hundred million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 467 804 934 1171 1401 1868 2342 2802 3513 4684 5604 7026 14052 31289 62578 78457 93867 125156 156914 187734 235371 298679 313828 375468 470742 546857 597358 896037 941484 1093714 1194716 1640571 1792074 2187428 3281142 3584148 6562284 20011493 36639419 40022986 60034479 73278838 80045972 109918257 120068958 139483093 146557676 219836514 240137916 278966186 349753109 418449279 439673028 557932372 699506218 836898558 1049259327 1399012436 1673797116 2098518654 4197037308 9345367231 18690734462 23433458303 28036101693 37381468924 46866916606 56072203386 70300374909 93733833212 112144406772 140600749818 163334701903 281201499636 326669403806 490004105709 653338807612 980008211418 1960016422836 10943425027501 21886850055002 32830275082503 43773700110004 65660550165006 131321100330012