23211223133101 has 32 divisors (see below), whose sum is σ = 25167534576480. Its totient is φ = 21326035968000.

The previous prime is 23211223133099. The next prime is 23211223133179. The reversal of 23211223133101 is 10133132211232.

It can be written as a sum of positive squares in 16 ways, for example, as 20916225377476 + 2294997755625 = 4573426^2 + 1514925^2 .

It is not a de Polignac number, because 23211223133101 - 2¹ = 23211223133099 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 (23211223133191) 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 31 ways as a sum of consecutive naturals, for example, 724677955 + ... + 724709983.

It is an arithmetic number, because the mean of its divisors is an integer number (786485455515).

Almost surely, 2^{23211223133101} is an apocalyptic number.

It is an amenable number.

23211223133101 is a deficient number, since it is larger than the sum of its proper divisors (1956311443379).

23211223133101 is a wasteful number, since it uses less digits than its factorization.

23211223133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37345.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 23211223133101 its reverse (10133132211232), we get a palindrome (33344355344333).

The spelling of 23211223133101 in words is "twenty-three trillion, two hundred eleven billion, two hundred twenty-three million, one hundred thirty-three thousand, one hundred one".