133013220123132 has 96 divisors (see below), whose sum is σ = 353283345925440. Its totient is φ = 43253478282240.

The previous prime is 133013220123073. The next prime is 133013220123137. The reversal of 133013220123132 is 231321022310331.

133013220123132 is a `hidden beast` number, since 1 + 3 + 301 + 3 + 2 + 201 + 23 + 132 = 666.

133013220123132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133013220123096 and 133013220123105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013220123137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66663408 + ... + 68629704.

It is an arithmetic number, because the mean of its divisors is an integer number (3680034853390).

Almost surely, 2^{133013220123132} is an apocalyptic number.

133013220123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133013220123132 is an abundant number, since it is smaller than the sum of its proper divisors (220270125802308).

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

133013220123132 is a wasteful number, since it uses less digits than its factorization.

133013220123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981628 (or 1981620 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133013220123132 its reverse (231321022310331), we get a palindrome (364334242433463).

The spelling of 133013220123132 in words is "one hundred thirty-three trillion, thirteen billion, two hundred twenty million, one hundred twenty-three thousand, one hundred thirty-two".