133103032211331 has 80 divisors (see below), whose sum is σ = 244725707564800. Its totient is φ = 70205822546112.

The previous prime is 133103032211243. The next prime is 133103032211341. The reversal of 133103032211331 is 133112230301331.

133103032211331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 3 + 0 + 322 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 133103032211331 - 2²⁵ = 133102998656899 is a prime.

It is a super-2 number, since 2×133103032211331² (a number of 29 digits) contains 22 as substring.

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 = 133103032211295 and 133103032211304.

It is not an unprimeable number, because it can be changed into a prime (133103032211341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229826040 + ... + 230404458.

It is an arithmetic number, because the mean of its divisors is an integer number (3059071344560).

Almost surely, 2^{133103032211331} is an apocalyptic number.

133103032211331 is a deficient number, since it is larger than the sum of its proper divisors (111622675353469).

133103032211331 is a wasteful number, since it uses less digits than its factorization.

133103032211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609670 (or 609661 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133103032211331 its reverse (133112230301331), we get a palindrome (266215262512662).

The spelling of 133103032211331 in words is "one hundred thirty-three trillion, one hundred three billion, thirty-two million, two hundred eleven thousand, three hundred thirty-one".