13131322320102 has 192 divisors, whose sum is σ = 31542355592640. Its totient is φ = 3631115464704.

The previous prime is 13131322320097. The next prime is 13131322320169. The reversal of 13131322320102 is 20102322313131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1733046538 + ... + 1733054114.

It is an arithmetic number, because the mean of its divisors is an integer number (164283102045).

Almost surely, 2^{13131322320102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131322320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15771177796320).

13131322320102 is an abundant number, since it is smaller than the sum of its proper divisors (18411033272538).

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

13131322320102 is a wasteful number, since it uses less digits than its factorization.

13131322320102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13131322320102 its reverse (20102322313131), we get a palindrome (33233644633233).

The spelling of 13131322320102 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred twenty thousand, one hundred two".