33312003122137 has 2 divisors, whose sum is σ = 33312003122138. Its totient is φ = 33312003122136.

The previous prime is 33312003122129. The next prime is 33312003122141. The reversal of 33312003122137 is 73122130021333.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33095409685321 + 216593436816 = 5752861^2 + 465396^2 .

It is an emirp because it is prime and its reverse (73122130021333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33312003122137 - 2³ = 33312003122129 is a prime.

It is a super-2 number, since 2×33312003122137² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33312003122099 and 33312003122108.

It is not a weakly prime, because it can be changed into another prime (33312003128137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16656001561068 + 16656001561069.

It is an arithmetic number, because the mean of its divisors is an integer number (16656001561069).

Almost surely, 2^{33312003122137} is an apocalyptic number.

It is an amenable number.

33312003122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33312003122137 is an equidigital number, since it uses as much as digits as its factorization.

33312003122137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 33312003122137 in words is "thirty-three trillion, three hundred twelve billion, three million, one hundred twenty-two thousand, one hundred thirty-seven".