131130031131 has 48 divisors (see below), whose sum is σ = 218936659968. Its totient is φ = 74745619200.

The previous prime is 131130031103. The next prime is 131130031147.

131130031131 is a `hidden beast` number, since 13 + 11 + 300 + 311 + 31 = 666.

131130031131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131130031131 - 2¹¹ = 131130029083 is a prime.

It is a super-2 number, since 2×131130031131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131130031231) 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 47 ways as a sum of consecutive naturals, for example, 2449210 + ... + 2502176.

It is an arithmetic number, because the mean of its divisors is an integer number (4561180416).

Almost surely, 2^131130031131 is an apocalyptic number.

131130031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131130031131 is a deficient number, since it is larger than the sum of its proper divisors (87806628837).

131130031131 is a wasteful number, since it uses less digits than its factorization.

131130031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54472 (or 54469 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1311300 and 31131, that added together give a palindrome (1342431).

The spelling of 131130031131 in words is "one hundred thirty-one billion, one hundred thirty million, thirty-one thousand, one hundred thirty-one".