1310113200 has 120 divisors (see below), whose sum is σ = 4578296256. Its totient is φ = 317600000.

The previous prime is 1310113187. The next prime is 1310113223. The reversal of 1310113200 is 23110131.

1310113200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 36426 + ... + 62825.

Almost surely, 2^1310113200 is an apocalyptic number.

1310113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310113200 is an abundant number, since it is smaller than the sum of its proper divisors (3268183056).

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

1310113200 is a wasteful number, since it uses less digits than its factorization.

1310113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99283 (or 99272 counting only the distinct ones).

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

The square root of 1310113200 is about 36195.4859063945. The cubic root of 1310113200 is about 1094.2156974149.

Adding to 1310113200 its reverse (23110131), we get a palindrome (1333223331).

The spelling of 1310113200 in words is "one billion, three hundred ten million, one hundred thirteen thousand, two hundred".