13013322100 has 72 divisors (see below), whose sum is σ = 28996191000. Its totient is φ = 5066342400.

The previous prime is 13013322083. The next prime is 13013322103. The reversal of 13013322100 is 122331031.

13013322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7175445264 + 5837876836 = 84708^2 + 76406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013322103) 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 23 ways as a sum of consecutive naturals, for example, 1837366 + ... + 1844434.

It is an arithmetic number, because the mean of its divisors is an integer number (402724875).

Almost surely, 2^13013322100 is an apocalyptic number.

13013322100 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 13013322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498095500).

13013322100 is an abundant number, since it is smaller than the sum of its proper divisors (15982868900).

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

13013322100 is a wasteful number, since it uses less digits than its factorization.

13013322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13013322100 its reverse (122331031), we get a palindrome (13135653131).

The spelling of 13013322100 in words is "thirteen billion, thirteen million, three hundred twenty-two thousand, one hundred".