1313153200 has 60 divisors (see below), whose sum is σ = 3198138808. Its totient is φ = 518054400.

The previous prime is 1313153197. The next prime is 1313153227. The reversal of 1313153200 is 23513131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6715 + ... + 51685.

Almost surely, 2^1313153200 is an apocalyptic number.

1313153200 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 1313153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599069404).

1313153200 is an abundant number, since it is smaller than the sum of its proper divisors (1884985608).

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

1313153200 is a wasteful number, since it uses less digits than its factorization.

1313153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45062 (or 45051 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1313153200 is about 36237.4557605801. The cubic root of 1313153200 is about 1095.0613867158.

Adding to 1313153200 its reverse (23513131), we get a palindrome (1336666331).

The spelling of 1313153200 in words is "one billion, three hundred thirteen million, one hundred fifty-three thousand, two hundred".