131012263457460 has 768 divisors, whose sum is σ = 525550878720000. Its totient is φ = 26306809551360.

The previous prime is 131012263457459. The next prime is 131012263457477. The reversal of 131012263457460 is 64754362210131.

131012263457460 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 2 + 2 + 634 + 5 + 7 + 4 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153962241 + ... + 154810839.

It is an arithmetic number, because the mean of its divisors is an integer number (684311040000).

Almost surely, 2^{131012263457460} is an apocalyptic number.

131012263457460 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 131012263457460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262775439360000).

131012263457460 is an abundant number, since it is smaller than the sum of its proper divisors (394538615262540).

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

131012263457460 is a wasteful number, since it uses less digits than its factorization.

131012263457460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848761 (or 848753 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 131012263457460 in words is "one hundred thirty-one trillion, twelve billion, two hundred sixty-three million, four hundred fifty-seven thousand, four hundred sixty".