133431363134331 has 16 divisors (see below), whose sum is σ = 182277903087360. Its totient is φ = 86788285507040.

The previous prime is 133431363134297. The next prime is 133431363134341.

133431363134331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133431363134331 - 2⁷ = 133431363134203 is a prime.

It is a super-2 number, since 2×133431363134331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133431363134341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2344080375 + ... + 2344137296.

It is an arithmetic number, because the mean of its divisors is an integer number (11392368942960).

Almost surely, 2^{133431363134331} is an apocalyptic number.

133431363134331 is a deficient number, since it is larger than the sum of its proper divisors (48846539953029).

133431363134331 is a wasteful number, since it uses less digits than its factorization.

133431363134331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688217906.

The product of its digits is 629856, while the sum is 42.

The spelling of 133431363134331 in words is "one hundred thirty-three trillion, four hundred thirty-one billion, three hundred sixty-three million, one hundred thirty-four thousand, three hundred thirty-one".