131402980377000 has 960 divisors, whose sum is σ = 490646577461040. Its totient is φ = 32796306432000.

The previous prime is 131402980376977. The next prime is 131402980377073. The reversal of 131402980377000 is 773089204131.

131402980377000 is a `hidden beast` number, since 131 + 402 + 9 + 80 + 37 + 7 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 95742663293124 + 35660317083876 = 9784818^2 + 5971626^2 .

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 239 ways as a sum of consecutive naturals, for example, 4237013494 + ... + 4237044506.

Almost surely, 2^{131402980377000} is an apocalyptic number.

131402980377000 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 131402980377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245323288730520).

131402980377000 is an abundant number, since it is smaller than the sum of its proper divisors (359243597084040).

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

131402980377000 is a wasteful number, since it uses less digits than its factorization.

131402980377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31221 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 131402980377000 in words is "one hundred thirty-one trillion, four hundred two billion, nine hundred eighty million, three hundred seventy-seven thousand".