131311103220192 has 192 divisors, whose sum is σ = 395322439680000. Its totient is φ = 37385274263040.

The previous prime is 131311103220161. The next prime is 131311103220259. The reversal of 131311103220192 is 291022301113131.

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, 444493909 + ... + 444789227.

It is an arithmetic number, because the mean of its divisors is an integer number (2058971040000).

Almost surely, 2^{131311103220192} is an apocalyptic number.

131311103220192 is a gapful number since it is divisible by the number (12) 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 131311103220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197661219840000).

131311103220192 is an abundant number, since it is smaller than the sum of its proper divisors (264011336459808).

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

131311103220192 is a wasteful number, since it uses less digits than its factorization.

131311103220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297669 (or 297661 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 131311103220192 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred three million, two hundred twenty thousand, one hundred ninety-two".