133211321113332 has 144 divisors (see below), whose sum is σ = 405104558862528. Its totient is φ = 33665198676480.

The previous prime is 133211321113331. The next prime is 133211321113333. The reversal of 133211321113332 is 233311123112331.

133211321113332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133211321113331) and next prime (133211321113333).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133211321113332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211321113331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278077473 + ... + 278556104.

It is an arithmetic number, because the mean of its divisors is an integer number (2813226103212).

Almost surely, 2^{133211321113332} is an apocalyptic number.

133211321113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133211321113332 is an abundant number, since it is smaller than the sum of its proper divisors (271893237749196).

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

133211321113332 is a wasteful number, since it uses less digits than its factorization.

133211321113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556633646 (or 556633637 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 133211321113332 its reverse (233311123112331), we get a palindrome (366522444225663).

The spelling of 133211321113332 in words is "one hundred thirty-three trillion, two hundred eleven billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred thirty-two".