131113102113 has 48 divisors (see below), whose sum is σ = 224543155200. Its totient is φ = 74893016016.

The previous prime is 131113102097. The next prime is 131113102129. The reversal of 131113102113 is 311201311131.

131113102113 is a `hidden beast` number, since 131 + 11 + 310 + 211 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (131113102097) and next prime (131113102129).

It is not a de Polignac number, because 131113102113 - 2⁴ = 131113102097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131113100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4897438 + ... + 4924136.

It is an arithmetic number, because the mean of its divisors is an integer number (4677982400).

Almost surely, 2^131113102113 is an apocalyptic number.

It is an amenable number.

131113102113 is a deficient number, since it is larger than the sum of its proper divisors (93430053087).

131113102113 is an equidigital number, since it uses as much as digits as its factorization.

131113102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29608 (or 29596 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131113102113 its reverse (311201311131), we get a palindrome (442314413244).

The spelling of 131113102113 in words is "one hundred thirty-one billion, one hundred thirteen million, one hundred two thousand, one hundred thirteen".