13202100 has 54 divisors (see below), whose sum is σ = 41384070. Its totient is φ = 3520320.

The previous prime is 13202051. The next prime is 13202107. The reversal of 13202100 is 120231.

It is a happy number.

13202100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1340964 + 11861136 = 1158^2 + 3444^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6435 + ... + 8234.

Almost surely, 2^13202100 is an apocalyptic number.

13202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202100 is an abundant number, since it is smaller than the sum of its proper divisors (28181970).

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

13202100 is a wasteful number, since it uses less digits than its factorization.

13202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14689 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13202100 is about 3633.4694164118. The cubic root of 13202100 is about 236.3456822475.

Adding to 13202100 its reverse (120231), we get a palindrome (13322331).

The spelling of 13202100 in words is "thirteen million, two hundred two thousand, one hundred".