131361163131 has 16 divisors (see below), whose sum is σ = 202310241408. Its totient is φ = 74929718400.

The previous prime is 131361163127. The next prime is 131361163133.

131361163131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131361163131 - 2² = 131361163127 is a prime.

It is a super-2 number, since 2×131361163131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131361163133) 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, 117077125 + ... + 117078246.

It is an arithmetic number, because the mean of its divisors is an integer number (12644390088).

Almost surely, 2^131361163131 is an apocalyptic number.

131361163131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131361163131 is a deficient number, since it is larger than the sum of its proper divisors (70949078277).

131361163131 is a wasteful number, since it uses less digits than its factorization.

131361163131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234155402.

The product of its digits is 2916, while the sum is 30.

It can be divided in two parts, 131361 and 163131, that added together give a palindrome (294492).

The spelling of 131361163131 in words is "one hundred thirty-one billion, three hundred sixty-one million, one hundred sixty-three thousand, one hundred thirty-one".