13079790900 has 288 divisors, whose sum is σ = 46446610560. Its totient is φ = 3170275200.

The previous prime is 13079790877. The next prime is 13079790907. The reversal of 13079790900 is 909797031.

13079790900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13079790907) 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 95 ways as a sum of consecutive naturals, for example, 2402982 + ... + 2408418.

Almost surely, 2^13079790900 is an apocalyptic number.

13079790900 is a gapful number since it is divisible by the number (10) 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 13079790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23223305280).

13079790900 is an abundant number, since it is smaller than the sum of its proper divisors (33366819660).

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

13079790900 is a wasteful number, since it uses less digits than its factorization.

13079790900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 45.

The spelling of 13079790900 in words is "thirteen billion, seventy-nine million, seven hundred ninety thousand, nine hundred".