10013013141233 has 8 divisors (see below), whose sum is σ = 10257694350120. Its totient is φ = 9768353902720.

The previous prime is 10013013141211. The next prime is 10013013141239. The reversal of 10013013141233 is 33214131031001.

It can be written as a sum of positive squares in 4 ways, for example, as 1632381856609 + 8380631284624 = 1277647^2 + 2894932^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013013141233 - 2²⁴ = 10012996364017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013013141199 and 10013013141208.

It is not an unprimeable number, because it can be changed into a prime (10013013141239) 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 7 ways as a sum of consecutive naturals, for example, 4568078 + ... + 6394791.

It is an arithmetic number, because the mean of its divisors is an integer number (1282211793765).

Almost surely, 2^{10013013141233} is an apocalyptic number.

It is an amenable number.

10013013141233 is a deficient number, since it is larger than the sum of its proper divisors (244681208887).

10013013141233 is a wasteful number, since it uses less digits than its factorization.

10013013141233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985187.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10013013141233 its reverse (33214131031001), we get a palindrome (43227144172234).

The spelling of 10013013141233 in words is "ten trillion, thirteen billion, thirteen million, one hundred forty-one thousand, two hundred thirty-three".