1311313200 has 120 divisors (see below), whose sum is σ = 4260013056. Its totient is φ = 344736000.

The previous prime is 1311313183. The next prime is 1311313229. The reversal of 1311313200 is 23131131.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311313200.

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, 77505 + ... + 92895.

Almost surely, 2^1311313200 is an apocalyptic number.

1311313200 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 1311313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130006528).

1311313200 is an abundant number, since it is smaller than the sum of its proper divisors (2948699856).

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

1311313200 is a wasteful number, since it uses less digits than its factorization.

1311313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15483 (or 15472 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1311313200 is about 36212.0587650026. The cubic root of 1311313200 is about 1094.5496782600.

Adding to 1311313200 its reverse (23131131), we get a palindrome (1334444331).

The spelling of 1311313200 in words is "one billion, three hundred eleven million, three hundred thirteen thousand, two hundred".