23303133301013 has 2 divisors, whose sum is σ = 23303133301014. Its totient is φ = 23303133301012.

The previous prime is 23303133301003. The next prime is 23303133301027. The reversal of 23303133301013 is 31010333130332.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22991046830404 + 312086470609 = 4794898^2 + 558647^2 .

It is a cyclic number.

It is not a de Polignac number, because 23303133301013 - 2²⁸ = 23302864865557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23303133301003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11651566650506 + 11651566650507.

It is an arithmetic number, because the mean of its divisors is an integer number (11651566650507).

Almost surely, 2^{23303133301013} is an apocalyptic number.

It is an amenable number.

23303133301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23303133301013 is an equidigital number, since it uses as much as digits as its factorization.

23303133301013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 23303133301013 its reverse (31010333130332), we get a palindrome (54313466431345).

The spelling of 23303133301013 in words is "twenty-three trillion, three hundred three billion, one hundred thirty-three million, three hundred one thousand, thirteen".