131369340960 has 576 divisors, whose sum is σ = 554407701120. Its totient is φ = 27849277440.

The previous prime is 131369340943. The next prime is 131369341001. The reversal of 131369340960 is 69043963131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3895692 + ... + 3929268.

It is an arithmetic number, because the mean of its divisors is an integer number (962513370).

Almost surely, 2^131369340960 is an apocalyptic number.

131369340960 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 131369340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277203850560).

131369340960 is an abundant number, since it is smaller than the sum of its proper divisors (423038360160).

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

131369340960 is a wasteful number, since it uses less digits than its factorization.

131369340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33641 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 131369340960 in words is "one hundred thirty-one billion, three hundred sixty-nine million, three hundred forty thousand, nine hundred sixty".