23122233122013 has 20 divisors (see below), whose sum is σ = 34543701614268. Its totient is φ = 15413446748160.

The previous prime is 23122233122011. The next prime is 23122233122029. The reversal of 23122233122013 is 31022133222132.

23122233122013 is a `hidden beast` number, since 2 + 3 + 122 + 2 + 331 + 2 + 201 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9650081305764 + 13472151816249 = 3106458^2 + 3670443^2 .

It is not a de Polignac number, because 23122233122013 - 2¹ = 23122233122011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122233122011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11820708 + ... + 13637213.

Almost surely, 2^{23122233122013} is an apocalyptic number.

It is an amenable number.

23122233122013 is a deficient number, since it is larger than the sum of its proper divisors (11421468492255).

23122233122013 is a wasteful number, since it uses less digits than its factorization.

23122233122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25469146 (or 25469137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23122233122013 its reverse (31022133222132), we get a palindrome (54144366344145).

The spelling of 23122233122013 in words is "twenty-three trillion, one hundred twenty-two billion, two hundred thirty-three million, one hundred twenty-two thousand, thirteen".