131352253131 has 96 divisors (see below), whose sum is σ = 204935592960. Its totient is φ = 74644416000.

The previous prime is 131352253069. The next prime is 131352253133.

131352253131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131352253131 - 2¹¹ = 131352251083 is a prime.

It is a super-2 number, since 2×131352253131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131352253133) 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 95 ways as a sum of consecutive naturals, for example, 116964936 + ... + 116966058.

It is an arithmetic number, because the mean of its divisors is an integer number (2134745760).

Almost surely, 2^131352253131 is an apocalyptic number.

131352253131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131352253131 is a deficient number, since it is larger than the sum of its proper divisors (73583339829).

131352253131 is a wasteful number, since it uses less digits than its factorization.

131352253131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1478 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 131352 and 253131, that added together give a palindrome (384483).

The spelling of 131352253131 in words is "one hundred thirty-one billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred thirty-one".