13033201223221 has 2 divisors, whose sum is σ = 13033201223222. Its totient is φ = 13033201223220.

The previous prime is 13033201223213. The next prime is 13033201223243. The reversal of 13033201223221 is 12232210233031.

13033201223221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13026606159121 + 6595064100 = 3609239^2 + 81210^2 .

It is a cyclic number.

It is not a de Polignac number, because 13033201223221 - 2³ = 13033201223213 is a prime.

It is a super-2 number, since 2×13033201223221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13033201224221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516600611610 + 6516600611611.

It is an arithmetic number, because the mean of its divisors is an integer number (6516600611611).

Almost surely, 2^{13033201223221} is an apocalyptic number.

It is an amenable number.

13033201223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033201223221 is an equidigital number, since it uses as much as digits as its factorization.

13033201223221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13033201223221 its reverse (12232210233031), we get a palindrome (25265411456252).

The spelling of 13033201223221 in words is "thirteen trillion, thirty-three billion, two hundred one million, two hundred twenty-three thousand, two hundred twenty-one".