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131213302013120 = 2654361156325417
BaseRepresentation
bin11101110101011001111010…
…010000011001110011000000
3122012120212110121210200022212
4131311121322100121303000
5114144244320303404440
61143022320410521252
736431563641515045
oct3565317220316300
9565525417720285
10131213302013120
1138899281298698
1212872025436228
13582a490995a72
142458a871cb1cc
15102825be91465
hex77567a419cc0

131213302013120 has 112 divisors (see below), whose sum is σ = 324959274111648. Its totient is φ = 50424326184960.

The previous prime is 131213302013029. The next prime is 131213302013149. The reversal of 131213302013120 is 21310203312131.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77323349 + ... + 79002068.

Almost surely, 2131213302013120 is an apocalyptic number.

131213302013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213302013120 is an abundant number, since it is smaller than the sum of its proper divisors (193745972098528).

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

131213302013120 is a wasteful number, since it uses less digits than its factorization.

131213302013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156325538 (or 156325528 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131213302013120 its reverse (21310203312131), we get a palindrome (152523505325251).

The spelling of 131213302013120 in words is "one hundred thirty-one trillion, two hundred thirteen billion, three hundred two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 61 64 80 86 122 160 172 215 244 305 320 344 430 488 610 688 860 976 1220 1376 1720 1952 2440 2623 2752 3440 3904 4880 5246 6880 9760 10492 13115 13760 19520 20984 26230 41968 52460 83936 104920 167872 209840 419680 839360 156325417 312650834 625301668 781627085 1250603336 1563254170 2501206672 3126508340 5002413344 6253016680 6721992931 9535850437 10004826688 12506033360 13443985862 19071700874 25012066720 26887971724 33609964655 38143401748 47679252185 50024133440 53775943448 67219929310 76286803496 95358504370 107551886896 134439858620 152573606992 190717008740 215103773792 268879717240 305147213984 381434017480 410041568791 430207547584 537759434480 610294427968 762868034960 820083137582 1075518868960 1525736069920 1640166275164 2050207843955 2151037737920 3051472139840 3280332550328 4100415687910 6560665100656 8200831375820 13121330201312 16401662751640 26242660402624 32803325503280 65606651006560 131213302013120