13398100 has 18 divisors (see below), whose sum is σ = 29074094. Its totient is φ = 5359200.

The previous prime is 13398089. The next prime is 13398131. The reversal of 13398100 is 189331.

It can be written as a sum of positive squares in 3 ways, for example, as 4648336 + 8749764 = 2156^2 + 2958^2 .

It is a super-2 number, since 2×13398100² = 359018167220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66891 + ... + 67090.

Almost surely, 2^13398100 is an apocalyptic number.

13398100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13398100 is an abundant number, since it is smaller than the sum of its proper divisors (15675994).

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

13398100 is a wasteful number, since it uses less digits than its factorization.

13398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133995 (or 133988 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13398100 is about 3660.3415141213. The cubic root of 13398100 is about 237.5095471693.

The spelling of 13398100 in words is "thirteen million, three hundred ninety-eight thousand, one hundred".