33213002232013 has 2 divisors, whose sum is σ = 33213002232014. Its totient is φ = 33213002232012.

The previous prime is 33213002231993. The next prime is 33213002232017. The reversal of 33213002232013 is 31023220031233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24171903419049 + 9041098812964 = 4916493^2 + 3006842^2 .

It is an emirp because it is prime and its reverse (31023220031233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33213002232013 - 2³³ = 33204412297421 is a prime.

It is a super-2 number, since 2×33213002232013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33213002232017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606501116006 + 16606501116007.

It is an arithmetic number, because the mean of its divisors is an integer number (16606501116007).

Almost surely, 2^{33213002232013} is an apocalyptic number.

It is an amenable number.

33213002232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33213002232013 is an equidigital number, since it uses as much as digits as its factorization.

33213002232013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 33213002232013 its reverse (31023220031233), we get a palindrome (64236222263246).

The spelling of 33213002232013 in words is "thirty-three trillion, two hundred thirteen billion, two million, two hundred thirty-two thousand, thirteen".