33401333304013 has 2 divisors, whose sum is σ = 33401333304014. Its totient is φ = 33401333304012.

The previous prime is 33401333303993. The next prime is 33401333304023. The reversal of 33401333304013 is 31040333310433.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32274249567849 + 1127083736164 = 5681043^2 + 1061642^2 .

It is a cyclic number.

It is not a de Polignac number, because 33401333304013 - 2²¹ = 33401331206861 is a prime.

It is a super-2 number, since 2×33401333304013² (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 (33401333304023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16700666652006 + 16700666652007.

It is an arithmetic number, because the mean of its divisors is an integer number (16700666652007).

Almost surely, 2^{33401333304013} is an apocalyptic number.

It is an amenable number.

33401333304013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33401333304013 is an equidigital number, since it uses as much as digits as its factorization.

33401333304013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 33401333304013 its reverse (31040333310433), we get a palindrome (64441666614446).

The spelling of 33401333304013 in words is "thirty-three trillion, four hundred one billion, three hundred thirty-three million, three hundred four thousand, thirteen".