131418199296 has 108 divisors (see below), whose sum is σ = 395385620448. Its totient is φ = 41901437952.

The previous prime is 131418199279. The next prime is 131418199301. The reversal of 131418199296 is 692991814131.

It is a happy number.

131418199296 is a `hidden beast` number, since 1 + 31 + 418 + 199 + 2 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186990 + ... + 1292973.

Almost surely, 2^131418199296 is an apocalyptic number.

131418199296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131418199296 is an abundant number, since it is smaller than the sum of its proper divisors (263967421152).

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

131418199296 is a wasteful number, since it uses less digits than its factorization.

131418199296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480008 (or 2479991 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 131418199296 in words is "one hundred thirty-one billion, four hundred eighteen million, one hundred ninety-nine thousand, two hundred ninety-six".