1313301200 has 120 divisors (see below), whose sum is σ = 3233203776. Its totient is φ = 512512000.

The previous prime is 1313301169. The next prime is 1313301211. The reversal of 1313301200 is 21033131.

It is a congruent number.

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, 3720224 + ... + 3720576.

Almost surely, 2^1313301200 is an apocalyptic number.

1313301200 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 1313301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616601888).

1313301200 is an abundant number, since it is smaller than the sum of its proper divisors (1919902576).

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

1313301200 is a wasteful number, since it uses less digits than its factorization.

1313301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1313301200 is about 36239.4977890147. The cubic root of 1313301200 is about 1095.1025250986.

Adding to 1313301200 its reverse (21033131), we get a palindrome (1334334331).

The spelling of 1313301200 in words is "one billion, three hundred thirteen million, three hundred one thousand, two hundred".