133331112312 has 64 divisors (see below), whose sum is σ = 342468220800. Its totient is φ = 43225902720.

The previous prime is 133331112311. The next prime is 133331112377. The reversal of 133331112312 is 213211133331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133331112311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397639 + ... + 2452617.

It is an arithmetic number, because the mean of its divisors is an integer number (5351065950).

Almost surely, 2^133331112312 is an apocalyptic number.

133331112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133331112312 is an abundant number, since it is smaller than the sum of its proper divisors (209137108488).

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

133331112312 is a wasteful number, since it uses less digits than its factorization.

133331112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57756 (or 57752 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 133331112312 its reverse (213211133331), we get a palindrome (346542245643).

The spelling of 133331112312 in words is "one hundred thirty-three billion, three hundred thirty-one million, one hundred twelve thousand, three hundred twelve".