10013201122323 has 32 divisors (see below), whose sum is σ = 15292522667520. Its totient is φ = 5708976698880.

The previous prime is 10013201122303. The next prime is 10013201122349. The reversal of 10013201122323 is 32322110231001.

It is not a de Polignac number, because 10013201122323 - 2¹⁶ = 10013201056787 is a prime.

It is a super-3 number, since 3×10013201122323³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10013201122323.

It is not an unprimeable number, because it can be changed into a prime (10013201122303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16591168 + ... + 17184098.

It is an arithmetic number, because the mean of its divisors is an integer number (477891333360).

Almost surely, 2^{10013201122323} is an apocalyptic number.

10013201122323 is a deficient number, since it is larger than the sum of its proper divisors (5279321545197).

10013201122323 is a wasteful number, since it uses less digits than its factorization.

10013201122323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594747.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10013201122323 its reverse (32322110231001), we get a palindrome (42335311353324).

The spelling of 10013201122323 in words is "ten trillion, thirteen billion, two hundred one million, one hundred twenty-two thousand, three hundred twenty-three".