34801533133 has 2 divisors, whose sum is σ = 34801533134. Its totient is φ = 34801533132.

The previous prime is 34801533073. The next prime is 34801533139. The reversal of 34801533133 is 33133510843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34775909289 + 25623844 = 186483^2 + 5062^2 .

It is an emirp because it is prime and its reverse (33133510843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34801533133 - 2²⁹ = 34264662221 is a prime.

It is a super-2 number, since 2×34801533133² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34801533139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400766566 + 17400766567.

It is an arithmetic number, because the mean of its divisors is an integer number (17400766567).

Almost surely, 2^34801533133 is an apocalyptic number.

It is an amenable number.

34801533133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34801533133 is an equidigital number, since it uses as much as digits as its factorization.

34801533133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 34801533133 in words is "thirty-four billion, eight hundred one million, five hundred thirty-three thousand, one hundred thirty-three".