13031045424 has 400 divisors, whose sum is σ = 42040007680. Its totient is φ = 3879912960.

The previous prime is 13031045413. The next prime is 13031045431. The reversal of 13031045424 is 42454013031.

It is a happy number.

13031045424 is a `hidden beast` number, since 13 + 0 + 3 + 104 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32823594 + ... + 32823990.

Almost surely, 2^13031045424 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 13031045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020003840).

13031045424 is an abundant number, since it is smaller than the sum of its proper divisors (29008962256).

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

13031045424 is a wasteful number, since it uses less digits than its factorization.

13031045424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13031045424 its reverse (42454013031), we get a palindrome (55485058455).

The spelling of 13031045424 in words is "thirteen billion, thirty-one million, forty-five thousand, four hundred twenty-four".