133112312015233 has 2 divisors, whose sum is σ = 133112312015234. Its totient is φ = 133112312015232.

The previous prime is 133112312015231. The next prime is 133112312015239. The reversal of 133112312015233 is 332510213211331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124762801254529 + 8349510760704 = 11169727^2 + 2889552^2 .

It is a cyclic number.

It is not a de Polignac number, because 133112312015233 - 2¹ = 133112312015231 is a prime.

It is a super-2 number, since 2×133112312015233² (a number of 29 digits) contains 22 as substring.

Together with 133112312015231, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 133112312015195 and 133112312015204.

It is not a weakly prime, because it can be changed into another prime (133112312015231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556156007616 + 66556156007617.

It is an arithmetic number, because the mean of its divisors is an integer number (66556156007617).

Almost surely, 2^{133112312015233} is an apocalyptic number.

It is an amenable number.

133112312015233 is a deficient number, since it is larger than the sum of its proper divisors (1).

133112312015233 is an equidigital number, since it uses as much as digits as its factorization.

133112312015233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 133112312015233 its reverse (332510213211331), we get a palindrome (465622525226564).

The spelling of 133112312015233 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twelve million, fifteen thousand, two hundred thirty-three".