1313422400 has 84 divisors (see below), whose sum is σ = 3273064320. Its totient is φ = 518668800.

The previous prime is 1313422361. The next prime is 1313422403. The reversal of 1313422400 is 42243131.

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 (1313422403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121205 + ... + 131595.

Almost surely, 2^1313422400 is an apocalyptic number.

1313422400 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 1313422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636532160).

1313422400 is an abundant number, since it is smaller than the sum of its proper divisors (1959641920).

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

1313422400 is a wasteful number, since it uses less digits than its factorization.

1313422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1313422400 is about 36241.1699590397. The cubic root of 1313422400 is about 1095.1362117967.

Adding to 1313422400 its reverse (42243131), we get a palindrome (1355665531).

The spelling of 1313422400 in words is "one billion, three hundred thirteen million, four hundred twenty-two thousand, four hundred".