13372100 has 54 divisors (see below), whose sum is σ = 33767370. Its totient is φ = 4583040.

The previous prime is 13372091. The next prime is 13372123. The reversal of 13372100 is 127331.

It can be written as a sum of positive squares in 3 ways, for example, as 3625216 + 9746884 = 1904^2 + 3122^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3536 + ... + 6264.

Almost surely, 2^13372100 is an apocalyptic number.

13372100 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 13372100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883685).

13372100 is an abundant number, since it is smaller than the sum of its proper divisors (20395270).

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

13372100 is a wasteful number, since it uses less digits than its factorization.

13372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13372100 is about 3656.7882082505. The cubic root of 13372100 is about 237.3558127580.

Adding to 13372100 its reverse (127331), we get a palindrome (13499431).

The spelling of 13372100 in words is "thirteen million, three hundred seventy-two thousand, one hundred".