133321222123331 has 48 divisors (see below), whose sum is σ = 149182116703200. Its totient is φ = 119040886272000.

The previous prime is 133321222123307. The next prime is 133321222123337.

133321222123331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-133321222123331 is a prime.

It is a super-2 number, since 2×133321222123331² (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 (133321222123337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949220396 + ... + 949360838.

It is an arithmetic number, because the mean of its divisors is an integer number (3107960764650).

Almost surely, 2^{133321222123331} is an apocalyptic number.

133321222123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133321222123331 is a deficient number, since it is larger than the sum of its proper divisors (15860894579869).

133321222123331 is a wasteful number, since it uses less digits than its factorization.

133321222123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141188 (or 141177 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 133321222123331 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-three thousand, three hundred thirty-one".