1311413200 has 60 divisors (see below), whose sum is σ = 3235859980. Its totient is φ = 510382080.

The previous prime is 1311413171. The next prime is 1311413203. The reversal of 1311413200 is 23141131.

It can be written as a sum of positive squares in 6 ways, for example, as 209438784 + 1101974416 = 14472^2 + 33196^2 .

It is a super-2 number, since 2×1311413200² = 3439609162268480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311413203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29505 + ... + 59104.

Almost surely, 2^1311413200 is an apocalyptic number.

1311413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311413200 is an abundant number, since it is smaller than the sum of its proper divisors (1924446780).

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

1311413200 is a wasteful number, since it uses less digits than its factorization.

1311413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88664 (or 88653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1311413200 is about 36213.4394941988. The cubic root of 1311413200 is about 1094.5775007985.

Adding to 1311413200 its reverse (23141131), we get a palindrome (1334554331).

The spelling of 1311413200 in words is "one billion, three hundred eleven million, four hundred thirteen thousand, two hundred".