131133202331131 has 32 divisors (see below), whose sum is σ = 177522055958016. Its totient is φ = 94321584007200.

The previous prime is 131133202331107. The next prime is 131133202331141.

It is a happy number.

131133202331131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131133202331131 - 2⁹ = 131133202330619 is a prime.

It is a super-2 number, since 2×131133202331131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131133202331131.

It is not an unprimeable number, because it can be changed into a prime (131133202331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541210285 + ... + 541452526.

It is an arithmetic number, because the mean of its divisors is an integer number (5547564248688).

Almost surely, 2^{131133202331131} is an apocalyptic number.

131133202331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131133202331131 is a deficient number, since it is larger than the sum of its proper divisors (46388853626885).

131133202331131 is a wasteful number, since it uses less digits than its factorization.

131133202331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082662864 (or 1082662842 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 13113320 and 2331131, that added together give a palindrome (15444451).

The spelling of 131133202331131 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, two hundred two million, three hundred thirty-one thousand, one hundred thirty-one".