131368998972288 has 512 divisors, whose sum is σ = 441168429588480. Its totient is φ = 33645512908800.

The previous prime is 131368998972257. The next prime is 131368998972317. The reversal of 131368998972288 is 882279899863131.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 131368998972288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608017045 + ... + 608233067.

It is an arithmetic number, because the mean of its divisors is an integer number (861657089040).

Almost surely, 2^{131368998972288} 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 131368998972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220584214794240).

131368998972288 is an abundant number, since it is smaller than the sum of its proper divisors (309799430616192).

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

131368998972288 is a wasteful number, since it uses less digits than its factorization.

131368998972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216346 (or 216334 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 84.

The spelling of 131368998972288 in words is "one hundred thirty-one trillion, three hundred sixty-eight billion, nine hundred ninety-eight million, nine hundred seventy-two thousand, two hundred eighty-eight".