133314303413331 has 48 divisors (see below), whose sum is σ = 204264648413280. Its totient is φ = 83495587845120.

The previous prime is 133314303413273. The next prime is 133314303413341.

133314303413331 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 4 + 303 + 4 + 13 + 331 = 666.

133314303413331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133314303413331 - 2¹¹ = 133314303411283 is a prime.

It is a super-2 number, since 2×133314303413331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133314303413341) 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, 291219001 + ... + 291676421.

It is an arithmetic number, because the mean of its divisors is an integer number (4255513508610).

Almost surely, 2^{133314303413331} is an apocalyptic number.

133314303413331 is a deficient number, since it is larger than the sum of its proper divisors (70950344999949).

133314303413331 is a wasteful number, since it uses less digits than its factorization.

133314303413331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460916 (or 460913 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

It can be divided in two parts, 13331430 and 3413331, that added together give a palindrome (16744761).

The spelling of 133314303413331 in words is "one hundred thirty-three trillion, three hundred fourteen billion, three hundred three million, four hundred thirteen thousand, three hundred thirty-one".