131454454131 has 192 divisors, whose sum is σ = 260499133440. Its totient is φ = 61675499520.

The previous prime is 131454454129. The next prime is 131454454141.

131454454131 is a `hidden beast` number, since 1 + 3 + 1 + 45 + 44 + 541 + 31 = 666.

131454454131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131454454131 - 2¹ = 131454454129 is a prime.

It is a super-2 number, since 2×131454454131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131454454141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90098280 + ... + 90099738.

It is an arithmetic number, because the mean of its divisors is an integer number (1356766320).

Almost surely, 2^131454454131 is an apocalyptic number.

131454454131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131454454131 is a deficient number, since it is larger than the sum of its proper divisors (129044679309).

131454454131 is a wasteful number, since it uses less digits than its factorization.

131454454131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1703 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 131454 and 454131, that added together give a palindrome (585585).

The spelling of 131454454131 in words is "one hundred thirty-one billion, four hundred fifty-four million, four hundred fifty-four thousand, one hundred thirty-one".