23133333333132 has 72 divisors (see below), whose sum is σ = 65149194120192. Its totient is φ = 6860949919200.

The previous prime is 23133333333109. The next prime is 23133333333137.

It is a happy number.

23133333333132 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 3 + 3 + 3 + 333 + 313 + 2 = 666.

23133333333132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23133333333132² (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 not an unprimeable number, because it can be changed into a prime (23133333333137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621444244 + ... + 621481467.

It is an arithmetic number, because the mean of its divisors is an integer number (904849918336).

Almost surely, 2^{23133333333132} is an apocalyptic number.

23133333333132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23133333333132 is an abundant number, since it is smaller than the sum of its proper divisors (42015860787060).

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

23133333333132 is a wasteful number, since it uses less digits than its factorization.

23133333333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242925779 (or 1242925774 counting only the distinct ones).

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

It can be divided in two parts, 2313333 and 3333132, that added together give a palindrome (5646465).

The spelling of 23133333333132 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty-two".