23133333505013 has 2 divisors, whose sum is σ = 23133333505014. Its totient is φ = 23133333505012.

The previous prime is 23133333504979. The next prime is 23133333505019. The reversal of 23133333505013 is 31050533333132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22855981708849 + 277351796164 = 4780793^2 + 526642^2 .

It is a cyclic number.

It is not a de Polignac number, because 23133333505013 - 2⁶ = 23133333504949 is a prime.

It is a super-2 number, since 2×23133333505013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23133333505019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11566666752506 + 11566666752507.

It is an arithmetic number, because the mean of its divisors is an integer number (11566666752507).

Almost surely, 2^{23133333505013} is an apocalyptic number.

It is an amenable number.

23133333505013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133333505013 is an equidigital number, since it uses as much as digits as its factorization.

23133333505013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 109350, while the sum is 35.

Adding to 23133333505013 its reverse (31050533333132), we get a palindrome (54183866838145).

The spelling of 23133333505013 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred thirty-three million, five hundred five thousand, thirteen".