101331010111131 has 12 divisors (see below), whose sum is σ = 149936941791000. Its totient is φ = 65906348039520.

The previous prime is 101331010111103. The next prime is 101331010111141. The reversal of 101331010111131 is 131111010133101.

101331010111131 is a `hidden beast` number, since 101 + 3 + 310 + 10 + 111 + 131 = 666.

It is not a de Polignac number, because 101331010111131 - 2⁵ = 101331010111099 is a prime.

It is a super-2 number, since 2×101331010111131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101331010111141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137304891381 + ... + 137304892118.

It is an arithmetic number, because the mean of its divisors is an integer number (12494745149250).

Almost surely, 2^{101331010111131} is an apocalyptic number.

101331010111131 is a deficient number, since it is larger than the sum of its proper divisors (48605931679869).

101331010111131 is a wasteful number, since it uses less digits than its factorization.

101331010111131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274609783546 (or 274609783543 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 101331010111131 its reverse (131111010133101), we get a palindrome (232442020244232).

The spelling of 101331010111131 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, one hundred eleven thousand, one hundred thirty-one".