10011311013 has 16 divisors (see below), whose sum is σ = 14564537856. Its totient is φ = 6066365040.

The previous prime is 10011310987. The next prime is 10011311047. The reversal of 10011311013 is 31011311001.

It is not a de Polignac number, because 10011311013 - 2¹⁰ = 10011309989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011311053) 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, 181870 + ... + 230432.

It is an arithmetic number, because the mean of its divisors is an integer number (910283616).

Almost surely, 2^10011311013 is an apocalyptic number.

It is an amenable number.

10011311013 is a deficient number, since it is larger than the sum of its proper divisors (4553226843).

10011311013 is a wasteful number, since it uses less digits than its factorization.

10011311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54824.

The product of its (nonzero) digits is 9, while the sum is 12.

Subtracting from 10011311013 its sum of digits (12), we obtain a palindrome (10011311001).

Adding to 10011311013 its reverse (31011311001), we get a palindrome (41022622014).

The spelling of 10011311013 in words is "ten billion, eleven million, three hundred eleven thousand, thirteen".