133331310112221 has 40 divisors (see below), whose sum is σ = 218542079752920. Its totient is φ = 80501923052928.

The previous prime is 133331310112129. The next prime is 133331310112241. The reversal of 133331310112221 is 122211013133331.

133331310112221 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 313 + 10 + 112 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23092964804196 + 110238345308025 = 4805514^2 + 10499445^2 .

It is not a de Polignac number, because 133331310112221 - 2⁹ = 133331310111709 is a prime.

It is a super-2 number, since 2×133331310112221² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133331310112241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1194476526 + ... + 1194588143.

It is an arithmetic number, because the mean of its divisors is an integer number (5463551993823).

Almost surely, 2^{133331310112221} is an apocalyptic number.

It is an amenable number.

133331310112221 is a deficient number, since it is larger than the sum of its proper divisors (85210769640699).

133331310112221 is a wasteful number, since it uses less digits than its factorization.

133331310112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389064747 (or 2389064738 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133331310112221 its reverse (122211013133331), we get a palindrome (255542323245552).

The spelling of 133331310112221 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, three hundred ten million, one hundred twelve thousand, two hundred twenty-one".