13128600 has 48 divisors (see below), whose sum is σ = 40700520. Its totient is φ = 3500800.

The previous prime is 13128587. The next prime is 13128613. The reversal of 13128600 is 682131.

It is an interprime number because it is at equal distance from previous prime (13128587) and next prime (13128613).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10341 + ... + 11540.

Almost surely, 2^13128600 is an apocalyptic number.

13128600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13128600 is an abundant number, since it is smaller than the sum of its proper divisors (27571920).

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

13128600 is a wasteful number, since it uses less digits than its factorization.

13128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21900 (or 21891 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13128600 is about 3623.3409996852. The cubic root of 13128600 is about 235.9062636454.

The spelling of 13128600 in words is "thirteen million, one hundred twenty-eight thousand, six hundred".