13313004144 has 80 divisors (see below), whose sum is σ = 37605759744. Its totient is φ = 4024857600.

The previous prime is 13313004139. The next prime is 13313004163. The reversal of 13313004144 is 44140031331.

It is a super-2 number, since 2×13313004144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 199509 + ... + 257739.

Almost surely, 2^13313004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802879872).

13313004144 is an abundant number, since it is smaller than the sum of its proper divisors (24292755600).

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

13313004144 is a wasteful number, since it uses less digits than its factorization.

13313004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58686 (or 58680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13313004144 its reverse (44140031331), we get a palindrome (57453035475).

The spelling of 13313004144 in words is "thirteen billion, three hundred thirteen million, four thousand, one hundred forty-four".