10031034013 has 32 divisors (see below), whose sum is σ = 13507522560. Its totient is φ = 7194087360.

The previous prime is 10031034011. The next prime is 10031034037. The reversal of 10031034013 is 31043013001.

It is a cyclic number.

It is not a de Polignac number, because 10031034013 - 2¹ = 10031034011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031034011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332908 + ... + 361786.

It is an arithmetic number, because the mean of its divisors is an integer number (422110080).

Almost surely, 2^10031034013 is an apocalyptic number.

10031034013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10031034013 is a deficient number, since it is larger than the sum of its proper divisors (3476488547).

10031034013 is a wasteful number, since it uses less digits than its factorization.

10031034013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10031034013 its reverse (31043013001), we get a palindrome (41074047014).

The spelling of 10031034013 in words is "ten billion, thirty-one million, thirty-four thousand, thirteen".