13031434024 has 64 divisors (see below), whose sum is σ = 29317847040. Its totient is φ = 5309219520.

The previous prime is 13031433983. The next prime is 13031434027. The reversal of 13031434024 is 42043413031.

13031434024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13031434024.

It is not an unprimeable number, because it can be changed into a prime (13031434027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178909 + ... + 240979.

It is an arithmetic number, because the mean of its divisors is an integer number (458091360).

Almost surely, 2^13031434024 is an apocalyptic number.

13031434024 is a gapful number since it is divisible by the number (14) 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 13031434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14658923520).

13031434024 is an abundant number, since it is smaller than the sum of its proper divisors (16286413016).

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

13031434024 is a wasteful number, since it uses less digits than its factorization.

13031434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62270 (or 62266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13031434024 its reverse (42043413031), we get a palindrome (55074847055).

The spelling of 13031434024 in words is "thirteen billion, thirty-one million, four hundred thirty-four thousand, twenty-four".