131024545420131 has 72 divisors (see below), whose sum is σ = 208538623461168. Its totient is φ = 79213602124800.

The previous prime is 131024545420039. The next prime is 131024545420141.

131024545420131 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 454 + 54 + 20 + 131 = 666.

131024545420131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131024545420131 - 2¹⁷ = 131024545289059 is a prime.

It is a super-2 number, since 2×131024545420131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131024545420141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2663454871 + ... + 2663504063.

It is an arithmetic number, because the mean of its divisors is an integer number (2896369770294).

Almost surely, 2^{131024545420131} is an apocalyptic number.

131024545420131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131024545420131 is a deficient number, since it is larger than the sum of its proper divisors (77514078041037).

131024545420131 is a wasteful number, since it uses less digits than its factorization.

131024545420131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55185 (or 55171 counting only the distinct ones).

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

The spelling of 131024545420131 in words is "one hundred thirty-one trillion, twenty-four billion, five hundred forty-five million, four hundred twenty thousand, one hundred thirty-one".