13231222100 has 72 divisors (see below), whose sum is σ = 29441662488. Its totient is φ = 5159232000.

The previous prime is 13231222063. The next prime is 13231222133. The reversal of 13231222100 is 122213231.

It can be written as a sum of positive squares in 12 ways, for example, as 395691664 + 12835530436 = 19892^2 + 113294^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824150 + ... + 840050.

It is an arithmetic number, because the mean of its divisors is an integer number (408911979).

Almost surely, 2^13231222100 is an apocalyptic number.

13231222100 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 13231222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720831244).

13231222100 is an abundant number, since it is smaller than the sum of its proper divisors (16210440388).

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

13231222100 is a wasteful number, since it uses less digits than its factorization.

13231222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13231222100 its reverse (122213231), we get a palindrome (13353435331).

The spelling of 13231222100 in words is "thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred".