131433076368 has 120 divisors (see below), whose sum is σ = 401497177536. Its totient is φ = 39805574400.

The previous prime is 131433076331. The next prime is 131433076427. The reversal of 131433076368 is 863670334131.

It is a happy number.

131433076368 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 3 + 0 + 7 + 636 + 8 = 666.

It is a Cunningham number, because it is equal to 362537²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877646 + ... + 2922962.

Almost surely, 2^131433076368 is an apocalyptic number.

131433076368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131433076368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200748588768).

131433076368 is an abundant number, since it is smaller than the sum of its proper divisors (270064101168).

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

131433076368 is a wasteful number, since it uses less digits than its factorization.

131433076368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47173 (or 47164 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 131433076368 in words is "one hundred thirty-one billion, four hundred thirty-three million, seventy-six thousand, three hundred sixty-eight".