133223112011331 has 32 divisors (see below), whose sum is σ = 203738395238400. Its totient is φ = 85948654201920.

The previous prime is 133223112011243. The next prime is 133223112011347. The reversal of 133223112011331 is 133110211322331.

133223112011331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 311 + 2 + 0 + 11 + 331 = 666.

It is not a de Polignac number, because 133223112011331 - 2⁷ = 133223112011203 is a prime.

It is a super-3 number, since 3×133223112011331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 133223112011295 and 133223112011304.

It is not an unprimeable number, because it can be changed into a prime (133223112211331) 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, 40396455 + ... + 43569711.

It is an arithmetic number, because the mean of its divisors is an integer number (6366824851200).

Almost surely, 2^{133223112011331} is an apocalyptic number.

133223112011331 is a deficient number, since it is larger than the sum of its proper divisors (70515283227069).

133223112011331 is a wasteful number, since it uses less digits than its factorization.

133223112011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223456 (or 3223450 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133223112011331 its reverse (133110211322331), we get a palindrome (266333323333662).

The spelling of 133223112011331 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, one hundred twelve million, eleven thousand, three hundred thirty-one".