1313410400 has 144 divisors (see below), whose sum is σ = 3429343008. Its totient is φ = 489984000.

The previous prime is 1313410381. The next prime is 1313410409. The reversal of 1313410400 is 40143131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313410409) 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, 753530 + ... + 755270.

It is an arithmetic number, because the mean of its divisors is an integer number (23814882).

Almost surely, 2^1313410400 is an apocalyptic number.

1313410400 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 1313410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714671504).

1313410400 is an abundant number, since it is smaller than the sum of its proper divisors (2115932608).

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

1313410400 is a wasteful number, since it uses less digits than its factorization.

1313410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1313410400 is about 36241.0044010924. The cubic root of 1313410400 is about 1095.1328765725.

Adding to 1313410400 its reverse (40143131), we get a palindrome (1353553531).

The spelling of 1313410400 in words is "one billion, three hundred thirteen million, four hundred ten thousand, four hundred".