213330102033 has 32 divisors (see below), whose sum is σ = 300909772800. Its totient is φ = 134061854976.

The previous prime is 213330102001. The next prime is 213330102101. The reversal of 213330102033 is 330201033312.

213330102033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213330102033 - 2⁵ = 213330102001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213330107033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9651088 + ... + 9673166.

It is an arithmetic number, because the mean of its divisors is an integer number (9403430400).

Almost surely, 2^213330102033 is an apocalyptic number.

It is an amenable number.

213330102033 is a deficient number, since it is larger than the sum of its proper divisors (87579670767).

213330102033 is a wasteful number, since it uses less digits than its factorization.

213330102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22941.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 213330102033 its reverse (330201033312), we get a palindrome (543531135345).

The spelling of 213330102033 in words is "two hundred thirteen billion, three hundred thirty million, one hundred two thousand, thirty-three".