1313319900 has 144 divisors (see below), whose sum is σ = 4037241600. Its totient is φ = 328688640.

The previous prime is 1313319899. The next prime is 1313319907. The reversal of 1313319900 is 99133131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313319907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643081 + ... + 645119.

It is an arithmetic number, because the mean of its divisors is an integer number (28036400).

Almost surely, 2^1313319900 is an apocalyptic number.

1313319900 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 1313319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018620800).

1313319900 is an abundant number, since it is smaller than the sum of its proper divisors (2723921700).

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

1313319900 is a wasteful number, since it uses less digits than its factorization.

1313319900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 1313319900 is about 36239.7557938792. The cubic root of 1313319900 is about 1095.1077227689.

It can be divided in two parts, 13133 and 19900, that added together give a palindrome (33033).

The spelling of 1313319900 in words is "one billion, three hundred thirteen million, three hundred nineteen thousand, nine hundred".