13008900 has 72 divisors (see below), whose sum is σ = 38094784. Its totient is φ = 3427200.

The previous prime is 13008883. The next prime is 13008913. The reversal of 13008900 is 980031.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30690 + ... + 31110.

Almost surely, 2^13008900 is an apocalyptic number.

13008900 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 13008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19047392).

13008900 is an abundant number, since it is smaller than the sum of its proper divisors (25085884).

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

13008900 is a wasteful number, since it uses less digits than its factorization.

13008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13008900 is about 3606.7852722334. The cubic root of 13008900 is about 235.1871151949.

Adding to 13008900 its reverse (980031), we get a palindrome (13988931).

The spelling of 13008900 in words is "thirteen million, eight thousand, nine hundred".