33213132013 has 2 divisors, whose sum is σ = 33213132014. Its totient is φ = 33213132012.

The previous prime is 33213131981. The next prime is 33213132049. The reversal of 33213132013 is 31023131233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28675358244 + 4537773769 = 169338^2 + 67363^2 .

It is a cyclic number.

It is not a de Polignac number, because 33213132013 - 2⁵ = 33213131981 is a prime.

It is a super-2 number, since 2×33213132013² (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 (33213132053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606566006 + 16606566007.

It is an arithmetic number, because the mean of its divisors is an integer number (16606566007).

Almost surely, 2^33213132013 is an apocalyptic number.

It is an amenable number.

33213132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33213132013 is an equidigital number, since it uses as much as digits as its factorization.

33213132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33213132013 its reverse (31023131233), we get a palindrome (64236263246).

The spelling of 33213132013 in words is "thirty-three billion, two hundred thirteen million, one hundred thirty-two thousand, thirteen".