133314242413331 has 32 divisors (see below), whose sum is σ = 159093881443200. Its totient is φ = 109292784814080.

The previous prime is 133314242413321. The next prime is 133314242413343.

133314242413331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-133314242413331 is a prime.

It is a super-2 number, since 2×133314242413331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133314242413321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100260761 + ... + 101581733.

It is an arithmetic number, because the mean of its divisors is an integer number (4971683795100).

Almost surely, 2^{133314242413331} is an apocalyptic number.

133314242413331 is a deficient number, since it is larger than the sum of its proper divisors (25779639029869).

133314242413331 is a wasteful number, since it uses less digits than its factorization.

133314242413331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325679.

The product of its digits is 186624, while the sum is 38.

The spelling of 133314242413331 in words is "one hundred thirty-three trillion, three hundred fourteen billion, two hundred forty-two million, four hundred thirteen thousand, three hundred thirty-one".