33023012221013 has 2 divisors, whose sum is σ = 33023012221014. Its totient is φ = 33023012221012.

The previous prime is 33023012220949. The next prime is 33023012221057. The reversal of 33023012221013 is 31012221032033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23577851624209 + 9445160596804 = 4855703^2 + 3073298^2 .

It is a cyclic number.

It is not a de Polignac number, because 33023012221013 - 2⁶ = 33023012220949 is a prime.

It is a super-3 number, since 3×33023012221013³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33023012221013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33023012421013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16511506110506 + 16511506110507.

It is an arithmetic number, because the mean of its divisors is an integer number (16511506110507).

Almost surely, 2^{33023012221013} is an apocalyptic number.

It is an amenable number.

33023012221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33023012221013 is an equidigital number, since it uses as much as digits as its factorization.

33023012221013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 33023012221013 its reverse (31012221032033), we get a palindrome (64035233253046).

The spelling of 33023012221013 in words is "thirty-three trillion, twenty-three billion, twelve million, two hundred twenty-one thousand, thirteen".