13102971904 has 66 divisors (see below), whose sum is σ = 28791087752. Its totient is φ = 5955840000.

The previous prime is 13102971853. The next prime is 13102971907. The reversal of 13102971904 is 40917920131.

13102971904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a pancake number, because a pancake can be divided into 13102971904 parts by 161882 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102971907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71029 + ... + 176779.

Almost surely, 2^13102971904 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 13102971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395543876).

13102971904 is an abundant number, since it is smaller than the sum of its proper divisors (15688115848).

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

13102971904 is a wasteful number, since it uses less digits than its factorization.

13102971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105793 (or 105764 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 13102971904 in words is "thirteen billion, one hundred two million, nine hundred seventy-one thousand, nine hundred four".