10013233213013 has 16 divisors (see below), whose sum is σ = 10451635582320. Its totient is φ = 9581062493184.

The previous prime is 10013233212979. The next prime is 10013233213043. The reversal of 10013233213013 is 31031233231001.

It can be written as a sum of positive squares in 8 ways, for example, as 3589634204689 + 6423599008324 = 1894633^2 + 2534482^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013233213013 - 2¹⁸ = 10013232950869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10013233213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013233213043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23821895 + ... + 24238587.

It is an arithmetic number, because the mean of its divisors is an integer number (653227223895).

Almost surely, 2^{10013233213013} is an apocalyptic number.

It is an amenable number.

10013233213013 is a deficient number, since it is larger than the sum of its proper divisors (438402369307).

10013233213013 is a wasteful number, since it uses less digits than its factorization.

10013233213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424168.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10013233213013 its reverse (31031233231001), we get a palindrome (41044466444014).

The spelling of 10013233213013 in words is "ten trillion, thirteen billion, two hundred thirty-three million, two hundred thirteen thousand, thirteen".