131531025040 has 40 divisors (see below), whose sum is σ = 323798438520. Its totient is φ = 49517561856.

The previous prime is 131531025007. The next prime is 131531025061. The reversal of 131531025040 is 40520135131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20809793536 + 110721231504 = 144256^2 + 332748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131531024996 and 131531025014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48355635 + ... + 48358354.

It is an arithmetic number, because the mean of its divisors is an integer number (8094960963).

Almost surely, 2^131531025040 is an apocalyptic number.

131531025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131531025040 is an abundant number, since it is smaller than the sum of its proper divisors (192267413480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131531025040 is a wasteful number, since it uses less digits than its factorization.

131531025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96714019 (or 96714013 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 131531025040 in words is "one hundred thirty-one billion, five hundred thirty-one million, twenty-five thousand, forty".