10013034024 has 160 divisors (see below), whose sum is σ = 32284929600. Its totient is φ = 2840106240.

The previous prime is 10013034011. The next prime is 10013034049. The reversal of 10013034024 is 42043031001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10013033988 and 10013034006.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 622564 + ... + 638444.

It is an arithmetic number, because the mean of its divisors is an integer number (201780810).

Almost surely, 2^10013034024 is an apocalyptic number.

10013034024 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 10013034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142464800).

10013034024 is an abundant number, since it is smaller than the sum of its proper divisors (22271895576).

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

10013034024 is a wasteful number, since it uses less digits than its factorization.

10013034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16045 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10013034024 its reverse (42043031001), we get a palindrome (52056065025).

The spelling of 10013034024 in words is "ten billion, thirteen million, thirty-four thousand, twenty-four".