23513211101 has 2 divisors, whose sum is σ = 23513211102. Its totient is φ = 23513211100.

The previous prime is 23513211053. The next prime is 23513211103. The reversal of 23513211101 is 10111231532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22283025625 + 1230185476 = 149275^2 + 35074^2 .

It is a cyclic number.

It is not a de Polignac number, because 23513211101 - 2²⁶ = 23446102237 is a prime.

Together with 23513211103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23513211103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11756605550 + 11756605551.

It is an arithmetic number, because the mean of its divisors is an integer number (11756605551).

Almost surely, 2^23513211101 is an apocalyptic number.

It is an amenable number.

23513211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23513211101 is an equidigital number, since it uses as much as digits as its factorization.

23513211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 23513211101 its reverse (10111231532), we get a palindrome (33624442633).

The spelling of 23513211101 in words is "twenty-three billion, five hundred thirteen million, two hundred eleven thousand, one hundred one".