23000100232313 has 16 divisors (see below), whose sum is σ = 24632569733904. Its totient is φ = 21400088586240.

The previous prime is 23000100232289. The next prime is 23000100232337. The reversal of 23000100232313 is 31323200100032.

It is an interprime number because it is at equal distance from previous prime (23000100232289) and next prime (23000100232337).

It can be written as a sum of positive squares in 8 ways, for example, as 1525514003689 + 21474586228624 = 1235117^2 + 4634068^2 .

It is a cyclic number.

It is not a de Polignac number, because 23000100232313 - 2¹⁴ = 23000100215929 is a prime.

It is a super-2 number, since 2×23000100232313² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23000100232393) 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, 21346028 + ... + 22397613.

It is an arithmetic number, because the mean of its divisors is an integer number (1539535608369).

Almost surely, 2^{23000100232313} is an apocalyptic number.

It is an amenable number.

23000100232313 is a deficient number, since it is larger than the sum of its proper divisors (1632469501591).

23000100232313 is a wasteful number, since it uses less digits than its factorization.

23000100232313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43744012.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23000100232313 its reverse (31323200100032), we get a palindrome (54323300332345).

The spelling of 23000100232313 in words is "twenty-three trillion, one hundred million, two hundred thirty-two thousand, three hundred thirteen".