13213256100 has 144 divisors (see below), whose sum is σ = 41765201856. Its totient is φ = 3198656000.

The previous prime is 13213256093. The next prime is 13213256101. The reversal of 13213256100 is 165231231.

It is not an unprimeable number, because it can be changed into a prime (13213256101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2706862 + ... + 2711738.

It is an arithmetic number, because the mean of its divisors is an integer number (290036124).

Almost surely, 2^13213256100 is an apocalyptic number.

13213256100 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 13213256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20882600928).

13213256100 is an abundant number, since it is smaller than the sum of its proper divisors (28551945756).

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

13213256100 is a wasteful number, since it uses less digits than its factorization.

13213256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13213256100 its reverse (165231231), we get a palindrome (13378487331).

The spelling of 13213256100 in words is "thirteen billion, two hundred thirteen million, two hundred fifty-six thousand, one hundred".