131445848544131 has 48 divisors (see below), whose sum is σ = 151528920238080. Its totient is φ = 113792448369600.

The previous prime is 131445848544119. The next prime is 131445848544133.

It is a happy number.

131445848544131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-131445848544131 is a prime.

It is a super-2 number, since 2×131445848544131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131445848544133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74050526 + ... + 75804828.

It is an arithmetic number, because the mean of its divisors is an integer number (3156852504960).

Almost surely, 2^{131445848544131} is an apocalyptic number.

131445848544131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131445848544131 is a deficient number, since it is larger than the sum of its proper divisors (20083071693949).

131445848544131 is a wasteful number, since it uses less digits than its factorization.

131445848544131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754648 (or 1754637 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 56.

The spelling of 131445848544131 in words is "one hundred thirty-one trillion, four hundred forty-five billion, eight hundred forty-eight million, five hundred forty-four thousand, one hundred thirty-one".