33997373586133 has 2 divisors, whose sum is σ = 33997373586134. Its totient is φ = 33997373586132.

The previous prime is 33997373586107. The next prime is 33997373586199. The reversal of 33997373586133 is 33168537379933.

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., 23387650422084 + 10609723164049 = 4836078^2 + 3257257^2 .

It is an emirp because it is prime and its reverse (33168537379933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33997373586133 - 2²⁹ = 33996836715221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33997373586733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16998686793066 + 16998686793067.

It is an arithmetic number, because the mean of its divisors is an integer number (16998686793067).

Almost surely, 2^{33997373586133} is an apocalyptic number.

It is an amenable number.

33997373586133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33997373586133 is an equidigital number, since it uses as much as digits as its factorization.

33997373586133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 694416240, while the sum is 70.

The spelling of 33997373586133 in words is "thirty-three trillion, nine hundred ninety-seven billion, three hundred seventy-three million, five hundred eighty-six thousand, one hundred thirty-three".