123033222013 has 32 divisors (see below), whose sum is σ = 141801256800. Its totient is φ = 105917952000.

The previous prime is 123033221989. The next prime is 123033222023. The reversal of 123033222013 is 310222330321.

It can be written as a sum of positive squares in 16 ways, for example, as 81400084249 + 41633137764 = 285307^2 + 204042^2 .

It is a cyclic number.

It is not a de Polignac number, because 123033222013 - 2⁵ = 123033221981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123033222023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521753 + ... + 1600561.

It is an arithmetic number, because the mean of its divisors is an integer number (4431289275).

Almost surely, 2^123033222013 is an apocalyptic number.

123033222013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123033222013 is a deficient number, since it is larger than the sum of its proper divisors (18768034787).

123033222013 is a wasteful number, since it uses less digits than its factorization.

123033222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78993.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123033222013 its reverse (310222330321), we get a palindrome (433255552334).

The spelling of 123033222013 in words is "one hundred twenty-three billion, thirty-three million, two hundred twenty-two thousand, thirteen".