131381934336 has 72 divisors (see below), whose sum is σ = 388519513760. Its totient is φ = 43793975808.

The previous prime is 131381934329. The next prime is 131381934449. The reversal of 131381934336 is 633439183131.

131381934336 is a `hidden beast` number, since 13 + 13 + 8 + 193 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×131381934336² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131381934291 and 131381934300.

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, 9496990 + ... + 9510813.

Almost surely, 2^131381934336 is an apocalyptic number.

131381934336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131381934336 is an abundant number, since it is smaller than the sum of its proper divisors (257137579424).

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

131381934336 is an equidigital number, since it uses as much as digits as its factorization.

131381934336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007828 (or 19007808 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 131381934336 in words is "one hundred thirty-one billion, three hundred eighty-one million, nine hundred thirty-four thousand, three hundred thirty-six".