131212839261568 has 256 divisors, whose sum is σ = 294778166284800. Its totient is φ = 57874095046656.

The previous prime is 131212839261541. The next prime is 131212839261589. The reversal of 131212839261568 is 865162938212131.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442147605 + ... + 442444267.

It is an arithmetic number, because the mean of its divisors is an integer number (1151477212050).

Almost surely, 2^{131212839261568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131212839261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147389083142400).

131212839261568 is an abundant number, since it is smaller than the sum of its proper divisors (163565327023232).

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

131212839261568 is a wasteful number, since it uses less digits than its factorization.

131212839261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296929 (or 296917 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 131212839261568 in words is "one hundred thirty-one trillion, two hundred twelve billion, eight hundred thirty-nine million, two hundred sixty-one thousand, five hundred sixty-eight".