133313132112 has 80 divisors (see below), whose sum is σ = 346244505600. Its totient is φ = 44198985600.

The previous prime is 133313132111. The next prime is 133313132119. The reversal of 133313132112 is 211231313331.

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 (133313132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21255537 + ... + 21261807.

It is an arithmetic number, because the mean of its divisors is an integer number (4328056320).

Almost surely, 2^133313132112 is an apocalyptic number.

133313132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133313132112 is an abundant number, since it is smaller than the sum of its proper divisors (212931373488).

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

133313132112 is a wasteful number, since it uses less digits than its factorization.

133313132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8586 counting only the distinct ones).

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

Adding to 133313132112 its reverse (211231313331), we get a palindrome (344544445443).

The spelling of 133313132112 in words is "one hundred thirty-three billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred twelve".