34330033121 has 32 divisors (see below), whose sum is σ = 38373598368. Its totient is φ = 30565416960.

The previous prime is 34330033097. The next prime is 34330033123. The reversal of 34330033121 is 12133003343.

It can be written as a sum of positive squares in 16 ways, for example, as 20444710225 + 13885322896 = 142985^2 + 117836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34330033121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34330033123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8069831 + ... + 8074083.

It is an arithmetic number, because the mean of its divisors is an integer number (1199174949).

Almost surely, 2^34330033121 is an apocalyptic number.

It is an amenable number.

34330033121 is a deficient number, since it is larger than the sum of its proper divisors (4043565247).

34330033121 is a wasteful number, since it uses less digits than its factorization.

34330033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 34330033121 its reverse (12133003343), we get a palindrome (46463036464).

The spelling of 34330033121 in words is "thirty-four billion, three hundred thirty million, thirty-three thousand, one hundred twenty-one".