13102031301984 has 168 divisors, whose sum is σ = 38699254335672. Its totient is φ = 4364519500800.

The previous prime is 13102031301949. The next prime is 13102031302001. The reversal of 13102031301984 is 48910313020131.

13102031301984 is a `hidden beast` number, since 1 + 310 + 2 + 0 + 31 + 301 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36047559 + ... + 36409209.

It is an arithmetic number, because the mean of its divisors is an integer number (230352704379).

Almost surely, 2^{13102031301984} 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 13102031301984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19349627167836).

13102031301984 is an abundant number, since it is smaller than the sum of its proper divisors (25597223033688).

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

13102031301984 is an equidigital number, since it uses as much as digits as its factorization.

13102031301984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363232 (or 363209 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13102031301984 in words is "thirteen trillion, one hundred two billion, thirty-one million, three hundred one thousand, nine hundred eighty-four".