133312311132 has 384 divisors, whose sum is σ = 451541852160. Its totient is φ = 29460464640.

The previous prime is 133312311107. The next prime is 133312311161. The reversal of 133312311132 is 231113213331.

It is a super-2 number, since 2×133312311132² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8436543 + ... + 8452329.

It is an arithmetic number, because the mean of its divisors is an integer number (1175890240).

Almost surely, 2^133312311132 is an apocalyptic number.

133312311132 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 133312311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225770926080).

133312311132 is an abundant number, since it is smaller than the sum of its proper divisors (318229541028).

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

133312311132 is a wasteful number, since it uses less digits than its factorization.

133312311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15881 (or 15879 counting only the distinct ones).

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

Adding to 133312311132 its reverse (231113213331), we get a palindrome (364425524463).

It can be divided in two parts, 133312 and 311132, that added together give a palindrome (444444).

The spelling of 133312311132 in words is "one hundred thirty-three billion, three hundred twelve million, three hundred eleven thousand, one hundred thirty-two".