33013123133 has 2 divisors, whose sum is σ = 33013123134. Its totient is φ = 33013123132.

The previous prime is 33013123103. The next prime is 33013123141. The reversal of 33013123133 is 33132131033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27405809209 + 5607313924 = 165547^2 + 74882^2 .

It is a cyclic number.

It is not a de Polignac number, because 33013123133 - 2²² = 33008928829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33013123099 and 33013123108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33013123103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506561566 + 16506561567.

It is an arithmetic number, because the mean of its divisors is an integer number (16506561567).

Almost surely, 2^33013123133 is an apocalyptic number.

It is an amenable number.

33013123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013123133 is an equidigital number, since it uses as much as digits as its factorization.

33013123133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 33013123133 its reverse (33132131033), we get a palindrome (66145254166).

The spelling of 33013123133 in words is "thirty-three billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-three".