13313401000 has 64 divisors (see below), whose sum is σ = 31171617360. Its totient is φ = 5322240000.

The previous prime is 13313400929. The next prime is 13313401009. The reversal of 13313401000 is 10431331.

It can be written as a sum of positive squares in 8 ways, for example, as 2071888324 + 11241512676 = 45518^2 + 106026^2 .

It is not an unprimeable number, because it can be changed into a prime (13313401009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2518360 + ... + 2523640.

Almost surely, 2^13313401000 is an apocalyptic number.

13313401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313401000 is an abundant number, since it is smaller than the sum of its proper divisors (17858216360).

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

13313401000 is a wasteful number, since it uses less digits than its factorization.

13313401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13313401000 its reverse (10431331), we get a palindrome (13323832331).

The spelling of 13313401000 in words is "thirteen billion, three hundred thirteen million, four hundred one thousand".