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131013013223115 = 325191367112093339
BaseRepresentation
bin11101110010011111011000…
…000111010011011011001011
3122011212201111011002221102100
4131302133120013103123023
5114133004122341114430
61142350314123004443
736411243413060502
oct3562373007233313
9564781434087370
10131013013223115
113882134150a271
121283b249069723
1358146218a233a
14244d0c6a13839
151022e384c4960
hex7727d81d36cb

131013013223115 has 48 divisors (see below), whose sum is σ = 239216155027200. Its totient is φ = 66147623873856.

The previous prime is 131013013223041. The next prime is 131013013223149. The reversal of 131013013223115 is 511322310310131.

131013013223115 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 301 + 322 + 31 + 1 + 5 = 666.

It is not a de Polignac number, because 131013013223115 - 211 = 131013013221067 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54877885 + ... + 57215454.

It is an arithmetic number, because the mean of its divisors is an integer number (4983669896400).

Almost surely, 2131013013223115 is an apocalyptic number.

131013013223115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131013013223115 is a deficient number, since it is larger than the sum of its proper divisors (108203141804085).

131013013223115 is a wasteful number, since it uses less digits than its factorization.

131013013223115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112094736 (or 112094733 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 131013013223115 its reverse (511322310310131), we get a palindrome (642335323533246).

The spelling of 131013013223115 in words is "one hundred thirty-one trillion, thirteen billion, thirteen million, two hundred twenty-three thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 1367 4101 6835 12303 20505 25973 61515 77919 129865 233757 389595 1168785 112093339 336280017 560466695 1008840051 1681400085 2129773441 5044200255 6389320323 10648867205 19167960969 31946601615 95839804845 153231594413 459694783239 766157972065 1379084349717 2298473916195 2911400293847 6895421748585 8734200881541 14557001469235 26202602644623 43671004407705 131013013223115