23311110102113 has 16 divisors (see below), whose sum is σ = 23595559650000. Its totient is φ = 23027167088640.

The previous prime is 23311110102109. The next prime is 23311110102131. The reversal of 23311110102113 is 31120101111332.

It can be written as a sum of positive squares in 8 ways, for example, as 6023210533729 + 17287899568384 = 2454223^2 + 4157872^2 .

It is a cyclic number.

It is not a de Polignac number, because 23311110102113 - 2² = 23311110102109 is a prime.

It is a super-3 number, since 3×23311110102113³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23311110102013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988542983 + ... + 988566563.

It is an arithmetic number, because the mean of its divisors is an integer number (1474722478125).

Almost surely, 2^{23311110102113} is an apocalyptic number.

It is an amenable number.

23311110102113 is a deficient number, since it is larger than the sum of its proper divisors (284449547887).

23311110102113 is a wasteful number, since it uses less digits than its factorization.

23311110102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33812.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 23311110102113 its reverse (31120101111332), we get a palindrome (54431211213445).

The spelling of 23311110102113 in words is "twenty-three trillion, three hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred thirteen".