133252202252331 has 48 divisors (see below), whose sum is σ = 196235256069216. Its totient is φ = 87101694171648.

The previous prime is 133252202252321. The next prime is 133252202252371.

133252202252331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 52 + 20 + 2 + 252 + 331 = 666.

133252202252331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133252202252331 - 2¹⁴ = 133252202235947 is a prime.

It is a super-2 number, since 2×133252202252331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133252202252321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7205538921 + ... + 7205557413.

It is an arithmetic number, because the mean of its divisors is an integer number (4088234501442).

Almost surely, 2^{133252202252331} is an apocalyptic number.

133252202252331 is a deficient number, since it is larger than the sum of its proper divisors (62983053816885).

133252202252331 is a wasteful number, since it uses less digits than its factorization.

133252202252331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27612 (or 27609 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 13325220 and 2252331, that added together give a palindrome (15577551).

The spelling of 133252202252331 in words is "one hundred thirty-three trillion, two hundred fifty-two billion, two hundred two million, two hundred fifty-two thousand, three hundred thirty-one".