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130131211433013 = 3372159761590923
BaseRepresentation
bin11101100101101010001000…
…101000011011010000110101
3122001202102101212110201002000
4131211222020220123100311
5114024032210111324023
61140433241522205513
736260445505402500
oct3545521050332065
9561672355421060
10130131211433013
113851137838196a
12127183734b3899
13577c42242508b
14241c5544d2137
15100a028955243
hex765a88a1b435

130131211433013 has 48 divisors (see below), whose sum is σ = 224402836138560. Its totient is φ = 74314128303072.

The previous prime is 130131211432987. The next prime is 130131211433017. The reversal of 130131211433013 is 310334112131031.

130131211433013 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 1 + 211 + 433 + 0 + 13 = 666.

It is not a de Polignac number, because 130131211433013 - 28 = 130131211432757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131211433017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28682631 + ... + 32908292.

It is an arithmetic number, because the mean of its divisors is an integer number (4675059086220).

Almost surely, 2130131211433013 is an apocalyptic number.

It is an amenable number.

130131211433013 is a deficient number, since it is larger than the sum of its proper divisors (94271624705547).

130131211433013 is a wasteful number, since it uses less digits than its factorization.

130131211433013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61592543 (or 61592530 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 130131211433013 its reverse (310334112131031), we get a palindrome (440465323564044).

The spelling of 130131211433013 in words is "one hundred thirty trillion, one hundred thirty-one billion, two hundred eleven million, four hundred thirty-three thousand, thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 1597 4791 11179 14373 33537 43119 78253 100611 234759 301833 704277 2112831 61590923 184772769 431136461 554318307 1293409383 1662954921 3017955227 3880228149 9053865681 11640684447 27161597043 81484791129 98360704031 295082112093 688524928217 885246336279 2065574784651 2655739008837 4819674497519 6196724353953 14459023492557 18590173061859 43377070477671 130131211433013