131336633131 has 16 divisors (see below), whose sum is σ = 150087541248. Its totient is φ = 113761331200.

The previous prime is 131336633069. The next prime is 131336633171.

It is a happy number.

131336633131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131336633131 - 2¹⁵ = 131336600363 is a prime.

It is a super-2 number, since 2×131336633131² (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 (131336633171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944935 + ... + 1074976.

It is an arithmetic number, because the mean of its divisors is an integer number (9380471328).

Almost surely, 2^131336633131 is an apocalyptic number.

131336633131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131336633131 is a deficient number, since it is larger than the sum of its proper divisors (18750908117).

131336633131 is a wasteful number, since it uses less digits than its factorization.

131336633131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020202.

The product of its digits is 26244, while the sum is 34.

It can be divided in two parts, 131336 and 633131, that added together give a palindrome (764467).

The spelling of 131336633131 in words is "one hundred thirty-one billion, three hundred thirty-six million, six hundred thirty-three thousand, one hundred thirty-one".