133444444331 has 32 divisors (see below), whose sum is σ = 148660012800. Its totient is φ = 118775726080.

The previous prime is 133444444307. The next prime is 133444444361.

133444444331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133444444331 - 2¹⁸ = 133444182187 is a prime.

It is a super-2 number, since 2×133444444331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133444444361) 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, 45035456 + ... + 45038418.

It is an arithmetic number, because the mean of its divisors is an integer number (4645625400).

Almost surely, 2^133444444331 is an apocalyptic number.

133444444331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133444444331 is a deficient number, since it is larger than the sum of its proper divisors (15215568469).

133444444331 is a wasteful number, since it uses less digits than its factorization.

133444444331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 133444 and 444331, that added together give a palindrome (577775).

The spelling of 133444444331 in words is "one hundred thirty-three billion, four hundred forty-four million, four hundred forty-four thousand, three hundred thirty-one".