133302011033331 has 256 divisors, whose sum is σ = 237439488000000. Its totient is φ = 72338508103680.

The previous prime is 133302011033329. The next prime is 133302011033357. The reversal of 133302011033331 is 133330110203331.

133302011033331 is a `hidden beast` number, since 13 + 3 + 302 + 0 + 1 + 10 + 3 + 3 + 331 = 666.

It is not a de Polignac number, because 133302011033331 - 2¹ = 133302011033329 is a prime.

It is a super-2 number, since 2×133302011033331² (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 junction number, because it is equal to n+sod(n) for n = 133302011033295 and 133302011033304.

It is not an unprimeable number, because it can be changed into a prime (133302011033311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61685334891 + ... + 61685337051.

It is an arithmetic number, because the mean of its divisors is an integer number (927498000000).

Almost surely, 2^{133302011033331} is an apocalyptic number.

133302011033331 is a deficient number, since it is larger than the sum of its proper divisors (104137476966669).

133302011033331 is a wasteful number, since it uses less digits than its factorization.

133302011033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133302011033331 its reverse (133330110203331), we get a palindrome (266632121236662).

The spelling of 133302011033331 in words is "one hundred thirty-three trillion, three hundred two billion, eleven million, thirty-three thousand, three hundred thirty-one".