131312101331 has 16 divisors (see below), whose sum is σ = 137733676608. Its totient is φ = 124950988800.

The previous prime is 131312101321. The next prime is 131312101367. The reversal of 131312101331 is 133101213131.

It is a cyclic number.

It is not a de Polignac number, because 131312101331 - 2²⁶ = 131244992467 is a prime.

It is a super-2 number, since 2×131312101331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131312101321) by changing a digit.

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, 5514491 + ... + 5538251.

It is an arithmetic number, because the mean of its divisors is an integer number (8608354788).

Almost surely, 2^131312101331 is an apocalyptic number.

131312101331 is a deficient number, since it is larger than the sum of its proper divisors (6421575277).

131312101331 is a wasteful number, since it uses less digits than its factorization.

131312101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131312101331 its reverse (133101213131), we get a palindrome (264413314462).

The spelling of 131312101331 in words is "one hundred thirty-one billion, three hundred twelve million, one hundred one thousand, three hundred thirty-one".