33002121013 has 2 divisors, whose sum is σ = 33002121014. Its totient is φ = 33002121012.

The previous prime is 33002121001. The next prime is 33002121049. The reversal of 33002121013 is 31012120033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29061043729 + 3941077284 = 170473^2 + 62778^2 .

It is a cyclic number.

It is not a de Polignac number, because 33002121013 - 2²⁵ = 32968566581 is a prime.

It is a super-2 number, since 2×33002121013² (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 (33002181013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16501060506 + 16501060507.

It is an arithmetic number, because the mean of its divisors is an integer number (16501060507).

Almost surely, 2^33002121013 is an apocalyptic number.

It is an amenable number.

33002121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33002121013 is an equidigital number, since it uses as much as digits as its factorization.

33002121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33002121013 its reverse (31012120033), we get a palindrome (64014241046).

The spelling of 33002121013 in words is "thirty-three billion, two million, one hundred twenty-one thousand, thirteen".