13014331400 has 144 divisors (see below), whose sum is σ = 35266492800. Its totient is φ = 4453438080.

The previous prime is 13014331399. The next prime is 13014331411. The reversal of 13014331400 is 413341031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7045277 + ... + 7047123.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 2^13014331400 is an apocalyptic number.

13014331400 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 13014331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633246400).

13014331400 is an abundant number, since it is smaller than the sum of its proper divisors (22252161400).

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

13014331400 is a wasteful number, since it uses less digits than its factorization.

13014331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13014331400 its reverse (413341031), we get a palindrome (13427672431).

The spelling of 13014331400 in words is "thirteen billion, fourteen million, three hundred thirty-one thousand, four hundred".