133120111000311 has 16 divisors (see below), whose sum is σ = 205789543576320. Its totient is φ = 84888186724440.

The previous prime is 133120111000273. The next prime is 133120111000367. The reversal of 133120111000311 is 113000111021331.

133120111000311 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 11 + 10 + 0 + 0 + 311 = 666.

It is not a de Polignac number, because 133120111000311 - 2⁷ = 133120111000183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120111004311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107182053325 + ... + 107182054566.

It is an arithmetic number, because the mean of its divisors is an integer number (12861846473520).

Almost surely, 2^{133120111000311} is an apocalyptic number.

133120111000311 is a deficient number, since it is larger than the sum of its proper divisors (72669432576009).

133120111000311 is a wasteful number, since it uses less digits than its factorization.

133120111000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214364107923 (or 214364107917 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 133120111000311 its reverse (113000111021331), we get a palindrome (246120222021642).

The spelling of 133120111000311 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred eleven million, three hundred eleven", and thus it is an aban number.