133444424444331 has 192 divisors, whose sum is σ = 247317945749504. Its totient is φ = 62232407930880.

The previous prime is 133444424444323. The next prime is 133444424444369.

133444424444331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133444424444331 - 2³ = 133444424444323 is a prime.

It is a super-2 number, since 2×133444424444331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133444424444311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2912529735 + ... + 2912575551.

Almost surely, 2^{133444424444331} is an apocalyptic number.

133444424444331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133444424444331 is a deficient number, since it is larger than the sum of its proper divisors (113873521305173).

133444424444331 is a wasteful number, since it uses less digits than its factorization.

133444424444331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48282 (or 48271 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

The spelling of 133444424444331 in words is "one hundred thirty-three trillion, four hundred forty-four billion, four hundred twenty-four million, four hundred forty-four thousand, three hundred thirty-one".