33210100013 has 2 divisors, whose sum is σ = 33210100014. Its totient is φ = 33210100012.

The previous prime is 33210099997. The next prime is 33210100061. The reversal of 33210100013 is 31000101233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32420883364 + 789216649 = 180058^2 + 28093^2 .

It is a cyclic number.

It is not a de Polignac number, because 33210100013 - 2⁴ = 33210099997 is a prime.

It is a super-2 number, since 2×33210100013² (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 (33210100073) 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, 16605050006 + 16605050007.

It is an arithmetic number, because the mean of its divisors is an integer number (16605050007).

Almost surely, 2^33210100013 is an apocalyptic number.

It is an amenable number.

33210100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33210100013 is an equidigital number, since it uses as much as digits as its factorization.

33210100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 33210100013 its reverse (31000101233), we get a palindrome (64210201246).

The spelling of 33210100013 in words is "thirty-three billion, two hundred ten million, one hundred thousand, thirteen".