23133100320013 has 2 divisors, whose sum is σ = 23133100320014. Its totient is φ = 23133100320012.

The previous prime is 23133100319999. The next prime is 23133100320103. The reversal of 23133100320013 is 31002300133132.

Together with next prime (23133100320103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12071476206409 + 11061624113604 = 3474403^2 + 3325902^2 .

It is a cyclic number.

It is not a de Polignac number, because 23133100320013 - 2⁵ = 23133100319981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23133104320013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11566550160006 + 11566550160007.

It is an arithmetic number, because the mean of its divisors is an integer number (11566550160007).

Almost surely, 2^{23133100320013} is an apocalyptic number.

It is an amenable number.

23133100320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133100320013 is an equidigital number, since it uses as much as digits as its factorization.

23133100320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 23133100320013 its reverse (31002300133132), we get a palindrome (54135400453145).

The spelling of 23133100320013 in words is "twenty-three trillion, one hundred thirty-three billion, one hundred million, three hundred twenty thousand, thirteen".