33000102100213 has 2 divisors, whose sum is σ = 33000102100214. Its totient is φ = 33000102100212.

The previous prime is 33000102100201. The next prime is 33000102100219. The reversal of 33000102100213 is 31200120100033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32297023204209 + 703078896004 = 5683047^2 + 838498^2 .

It is a cyclic number.

It is not a de Polignac number, because 33000102100213 - 2⁵ = 33000102100181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33000102100219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500051050106 + 16500051050107.

It is an arithmetic number, because the mean of its divisors is an integer number (16500051050107).

Almost surely, 2^{33000102100213} is an apocalyptic number.

It is an amenable number.

33000102100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000102100213 is an equidigital number, since it uses as much as digits as its factorization.

33000102100213 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 33000102100213 its reverse (31200120100033), we get a palindrome (64200222200246).

The spelling of 33000102100213 in words is "thirty-three trillion, one hundred two million, one hundred thousand, two hundred thirteen".