1315312400 has 120 divisors (see below), whose sum is σ = 3295269000. Its totient is φ = 503910400.

The previous prime is 1315312333. The next prime is 1315312403. The reversal of 1315312400 is 42135131.

It can be written as a sum of positive squares in 12 ways, for example, as 1052613136 + 262699264 = 32444^2 + 16208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315312403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728020 + ... + 1728780.

It is an arithmetic number, because the mean of its divisors is an integer number (27460575).

Almost surely, 2^1315312400 is an apocalyptic number.

1315312400 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 1315312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647634500).

1315312400 is an abundant number, since it is smaller than the sum of its proper divisors (1979956600).

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

1315312400 is a wasteful number, since it uses less digits than its factorization.

1315312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1315312400 is about 36267.2359023954. The cubic root of 1315312400 is about 1095.6612562464.

Adding to 1315312400 its reverse (42135131), we get a palindrome (1357447531).

The spelling of 1315312400 in words is "one billion, three hundred fifteen million, three hundred twelve thousand, four hundred".