23313333331332 has 216 divisors, whose sum is σ = 68820013243800. Its totient is φ = 6636684257280.

The previous prime is 23313333331259. The next prime is 23313333331367.

It is a happy number.

23313333331332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 3 + 333 + 313 + 3 + 2 = 666.

23313333331332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 16660307543616 + 6653025787716 = 4081704^2 + 2579346^2 .

It is a super-2 number, since 2×23313333331332² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2180044 + ... + 7167932.

It is an arithmetic number, because the mean of its divisors is an integer number (318611172425).

Almost surely, 2^{23313333331332} is an apocalyptic number.

23313333331332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23313333331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410006621900).

23313333331332 is an abundant number, since it is smaller than the sum of its proper divisors (45506679912468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23313333331332 is a wasteful number, since it uses less digits than its factorization.

23313333331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987987 (or 4987971 counting only the distinct ones).

The product of its digits is 236196, while the sum is 36.

It can be divided in two parts, 2331333 and 3331332, that added together give a palindrome (5662665).

The spelling of 23313333331332 in words is "twenty-three trillion, three hundred thirteen billion, three hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-two".