133331323133331 has 96 divisors (see below), whose sum is σ = 216818729786880. Its totient is φ = 78455703168000.

The previous prime is 133331323133291. The next prime is 133331323133357.

133331323133331 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 1 + 3 + 2 + 313 + 3 + 331 = 666.

133331323133331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133331323133331 - 2³⁷ = 133193884179859 is a prime.

It is a super-2 number, since 2×133331323133331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133331323133131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1598061186 + ... + 1598144616.

It is an arithmetic number, because the mean of its divisors is an integer number (2258528435280).

Almost surely, 2^{133331323133331} is an apocalyptic number.

133331323133331 is a deficient number, since it is larger than the sum of its proper divisors (83487406653549).

133331323133331 is a wasteful number, since it uses less digits than its factorization.

133331323133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89017 (or 89014 counting only the distinct ones).

The product of its digits is 118098, while the sum is 36.

The spelling of 133331323133331 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, three hundred thirty-one".