10031111011013 has 16 divisors (see below), whose sum is σ = 10758872897280. Its totient is φ = 9318720992256.

The previous prime is 10031111011003. The next prime is 10031111011049. The reversal of 10031111011013 is 31011011113001.

It is not a de Polignac number, because 10031111011013 - 2²⁶ = 10031043902149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031111011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322106 + ... + 5576612.

It is an arithmetic number, because the mean of its divisors is an integer number (672429556080).

Almost surely, 2^{10031111011013} is an apocalyptic number.

It is an amenable number.

10031111011013 is a deficient number, since it is larger than the sum of its proper divisors (727761886267).

10031111011013 is a wasteful number, since it uses less digits than its factorization.

10031111011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257916.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 10031111011013 its reverse (31011011113001), we get a palindrome (41042122124014).

It can be divided in two parts, 100 and 31111011013, that added together give a palindrome (31111011113).

The spelling of 10031111011013 in words is "ten trillion, thirty-one billion, one hundred eleven million, eleven thousand, thirteen".