10113311113001 has 16 divisors (see below), whose sum is σ = 10154427267600. Its totient is φ = 10072295424000.

The previous prime is 10113311112913. The next prime is 10113311113051. The reversal of 10113311113001 is 10031111331101.

It can be written as a sum of positive squares in 8 ways, for example, as 2766766489600 + 7346544623401 = 1663360^2 + 2710451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10113311113001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113311113051) 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, 611844305 + ... + 611860833.

It is an arithmetic number, because the mean of its divisors is an integer number (634651704225).

Almost surely, 2^{10113311113001} is an apocalyptic number.

It is an amenable number.

10113311113001 is a deficient number, since it is larger than the sum of its proper divisors (41116154599).

10113311113001 is a wasteful number, since it uses less digits than its factorization.

10113311113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19420.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10113311113001 its reverse (10031111331101), we get a palindrome (20144422444102).

The spelling of 10113311113001 in words is "ten trillion, one hundred thirteen billion, three hundred eleven million, one hundred thirteen thousand, one".