33113012221013 has 2 divisors, whose sum is σ = 33113012221014. Its totient is φ = 33113012221012.

The previous prime is 33113012220979. The next prime is 33113012221061. The reversal of 33113012221013 is 31012221031133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17532166502449 + 15580845718564 = 4187143^2 + 3947258^2 .

It is a cyclic number.

It is not a de Polignac number, because 33113012221013 - 2⁶ = 33113012220949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33113012221013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33113012221073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556506110506 + 16556506110507.

It is an arithmetic number, because the mean of its divisors is an integer number (16556506110507).

Almost surely, 2^{33113012221013} is an apocalyptic number.

It is an amenable number.

33113012221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33113012221013 is an equidigital number, since it uses as much as digits as its factorization.

33113012221013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 33113012221013 its reverse (31012221031133), we get a palindrome (64125233252146).

The spelling of 33113012221013 in words is "thirty-three trillion, one hundred thirteen billion, twelve million, two hundred twenty-one thousand, thirteen".