13002100 has 18 divisors (see below), whose sum is σ = 28214774. Its totient is φ = 5200800.

The previous prime is 13002097. The next prime is 13002109. The reversal of 13002100 is 120031.

13002100 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 3 ways, for example, as 85264 + 12916836 = 292^2 + 3594^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64911 + ... + 65110.

Almost surely, 2^13002100 is an apocalyptic number.

13002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002100 is an abundant number, since it is smaller than the sum of its proper divisors (15212674).

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

13002100 is a wasteful number, since it uses less digits than its factorization.

13002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130035 (or 130028 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13002100 is about 3605.8424813072. The cubic root of 13002100 is about 235.1461291233.

Adding to 13002100 its reverse (120031), we get a palindrome (13122131).

The spelling of 13002100 in words is "thirteen million, two thousand, one hundred".