15013131304224 has 48 divisors (see below), whose sum is σ = 39670459577280. Its totient is φ = 4971235526400.

The previous prime is 15013131304219. The next prime is 15013131304261. The reversal of 15013131304224 is 42240313131051.

15013131304224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×15013131304224² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15013131304191 and 15013131304200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517822539 + ... + 517851530.

It is an arithmetic number, because the mean of its divisors is an integer number (826467907860).

Almost surely, 2^{15013131304224} is an apocalyptic number.

It is an amenable number.

15013131304224 is an abundant number, since it is smaller than the sum of its proper divisors (24657328273056).

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

15013131304224 is a wasteful number, since it uses less digits than its factorization.

15013131304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035674233 (or 1035674225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 15013131304224 its reverse (42240313131051), we get a palindrome (57253444435275).

The spelling of 15013131304224 in words is "fifteen trillion, thirteen billion, one hundred thirty-one million, three hundred four thousand, two hundred twenty-four".