13101800 has 48 divisors (see below), whose sum is σ = 30792300. Its totient is φ = 5184000.

The previous prime is 13101797. The next prime is 13101827. The reversal of 13101800 is 810131.

It can be written as a sum of positive squares in 6 ways, for example, as 8444836 + 4656964 = 2906^2 + 2158^2 .

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, 21500 + ... + 22100.

Almost surely, 2^13101800 is an apocalyptic number.

13101800 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 13101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396150).

13101800 is an abundant number, since it is smaller than the sum of its proper divisors (17690500).

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

13101800 is a wasteful number, since it uses less digits than its factorization.

13101800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 13101800 is about 3619.6408661634. The cubic root of 13101800 is about 235.7456322823.

Adding to 13101800 its reverse (810131), we get a palindrome (13911931).

The spelling of 13101800 in words is "thirteen million, one hundred one thousand, eight hundred".