13313050400 has 72 divisors (see below), whose sum is σ = 35000548884. Its totient is φ = 4915584000.

The previous prime is 13313050313. The next prime is 13313050403. The reversal of 13313050400 is 405031331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1229764624 + 12083285776 = 35068^2 + 109924^2 .

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 (13313050403) 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, 629651 + ... + 650450.

Almost surely, 2^13313050400 is an apocalyptic number.

13313050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313050400 is an abundant number, since it is smaller than the sum of its proper divisors (21687498484).

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

13313050400 is a wasteful number, since it uses less digits than its factorization.

13313050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280134 (or 1280121 counting only the distinct ones).

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

Adding to 13313050400 its reverse (405031331), we get a palindrome (13718081731).

The spelling of 13313050400 in words is "thirteen billion, three hundred thirteen million, fifty thousand, four hundred".