33355147408133 has 2 divisors, whose sum is σ = 33355147408134. Its totient is φ = 33355147408132.

The previous prime is 33355147408103. The next prime is 33355147408151. The reversal of 33355147408133 is 33180474155333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17309410769764 + 16045736638369 = 4160458^2 + 4005713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33355147408133 is a prime.

It is a super-2 number, since 2×33355147408133² (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 (33355147408103) 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, 16677573704066 + 16677573704067.

It is an arithmetic number, because the mean of its divisors is an integer number (16677573704067).

Almost surely, 2^{33355147408133} is an apocalyptic number.

It is an amenable number.

33355147408133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33355147408133 is an equidigital number, since it uses as much as digits as its factorization.

33355147408133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 50.

The spelling of 33355147408133 in words is "thirty-three trillion, three hundred fifty-five billion, one hundred forty-seven million, four hundred eight thousand, one hundred thirty-three".