131383296000 has 1008 divisors, whose sum is σ = 536369743728. Its totient is φ = 31850496000.

The previous prime is 131383295977. The next prime is 131383296059. The reversal of 131383296000 is 692383131.

131383296000 is a `hidden beast` number, since 1 + 3 + 13 + 8 + 32 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11943935995 + ... + 11943936005.

It is an arithmetic number, because the mean of its divisors is an integer number (532112841).

Almost surely, 2^131383296000 is an apocalyptic number.

131383296000 is a gapful number since it is divisible by the number (10) 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 131383296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268184871864).

131383296000 is an abundant number, since it is smaller than the sum of its proper divisors (404986447728).

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

131383296000 is an frugal number, since it uses more digits than its factorization.

131383296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 131383296000 in words is "one hundred thirty-one billion, three hundred eighty-three million, two hundred ninety-six thousand".