131435010513120 has 48 divisors (see below), whose sum is σ = 414020283117840. Its totient is φ = 35049336136704.

The previous prime is 131435010513089. The next prime is 131435010513133. The reversal of 131435010513120 is 21315010534131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 136911468805 + ... + 136911469764.

It is an arithmetic number, because the mean of its divisors is an integer number (8625422564955).

Almost surely, 2^{131435010513120} is an apocalyptic number.

131435010513120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131435010513120 is an abundant number, since it is smaller than the sum of its proper divisors (282585272604720).

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

131435010513120 is a wasteful number, since it uses less digits than its factorization.

131435010513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273822938587 (or 273822938579 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 131435010513120 in words is "one hundred thirty-one trillion, four hundred thirty-five billion, ten million, five hundred thirteen thousand, one hundred twenty".