233113222311332 has 144 divisors (see below), whose sum is σ = 465372815285616. Its totient is φ = 102045314764800.

The previous prime is 233113222311287. The next prime is 233113222311371.

233113222311332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 30752525886016 + 202360696425316 = 5545496^2 + 14225354^2 .

It is a super-2 number, since 2×233113222311332² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294874778 + ... + 295664270.

Almost surely, 2^{233113222311332} is an apocalyptic number.

233113222311332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233113222311332 is a deficient number, since it is larger than the sum of its proper divisors (232259592974284).

233113222311332 is a wasteful number, since it uses less digits than its factorization.

233113222311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789790 (or 789777 counting only the distinct ones).

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

The spelling of 233113222311332 in words is "two hundred thirty-three trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, three hundred thirty-two".