1313101200 has 120 divisors (see below), whose sum is σ = 4245313600. Its totient is φ = 346913280.

The previous prime is 1313101159. The next prime is 1313101217. The reversal of 1313101200 is 21013131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1313101200² = 3448469522882880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 125781 + ... + 135819.

Almost surely, 2^1313101200 is an apocalyptic number.

1313101200 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 1313101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122656800).

1313101200 is an abundant number, since it is smaller than the sum of its proper divisors (2932212400).

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

1313101200 is a wasteful number, since it uses less digits than its factorization.

1313101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1313101200 is about 36236.7382638118. The cubic root of 1313101200 is about 1095.0469319556.

Adding to 1313101200 its reverse (21013131), we get a palindrome (1334114331).

The spelling of 1313101200 in words is "one billion, three hundred thirteen million, one hundred one thousand, two hundred".