1313131200 has 84 divisors (see below), whose sum is σ = 4308180360. Its totient is φ = 350167040.

The previous prime is 1313131159. The next prime is 1313131219. The reversal of 1313131200 is 21313131.

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 1313131200.

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, 131985 + ... + 141584.

Almost surely, 2^1313131200 is an apocalyptic number.

1313131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313131200 is an abundant number, since it is smaller than the sum of its proper divisors (2995049160).

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

1313131200 is a wasteful number, since it uses less digits than its factorization.

1313131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273594 (or 273579 counting only the distinct ones).

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

The square root of 1313131200 is about 36237.1522059888. The cubic root of 1313131200 is about 1095.0552712869.

Adding to 1313131200 its reverse (21313131), we get a palindrome (1334444331).

The spelling of 1313131200 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred".