133110111111312 has 160 divisors (see below), whose sum is σ = 371840614427520. Its totient is φ = 40888613376000.

The previous prime is 133110111111281. The next prime is 133110111111343. The reversal of 133110111111312 is 213111111011331.

It is an interprime number because it is at equal distance from previous prime (133110111111281) and next prime (133110111111343).

It is a super-2 number, since 2×133110111111312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136955062 + ... + 137923562.

It is an arithmetic number, because the mean of its divisors is an integer number (2324003840172).

Almost surely, 2^{133110111111312} is an apocalyptic number.

133110111111312 is a gapful number since it is divisible by the number (12) 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 133110111111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185920307213760).

133110111111312 is an abundant number, since it is smaller than the sum of its proper divisors (238730503316208).

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

133110111111312 is a wasteful number, since it uses less digits than its factorization.

133110111111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972641 (or 972635 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

Adding to 133110111111312 its reverse (213111111011331), we get a palindrome (346221222122643).

The spelling of 133110111111312 in words is "one hundred thirty-three trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, three hundred twelve".