1313503400 has 72 divisors (see below), whose sum is σ = 3356822910. Its totient is φ = 477628800.

The previous prime is 1313503363. The next prime is 1313503403. The reversal of 1313503400 is 43053131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 731053444 + 582449956 = 27038^2 + 24134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1313503403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2939 + ... + 51338.

Almost surely, 2^1313503400 is an apocalyptic number.

1313503400 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 1313503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678411455).

1313503400 is an abundant number, since it is smaller than the sum of its proper divisors (2043319510).

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

1313503400 is a wasteful number, since it uses less digits than its factorization.

1313503400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54315 (or 54295 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1313503400 is about 36242.2874554021. The cubic root of 1313503400 is about 1095.1587240288.

Adding to 1313503400 its reverse (43053131), we get a palindrome (1356556531).

The spelling of 1313503400 in words is "one billion, three hundred thirteen million, five hundred three thousand, four hundred".