133120232311311 has 64 divisors (see below), whose sum is σ = 231030066150400. Its totient is φ = 74170893017088.

The previous prime is 133120232311307. The next prime is 133120232311321. The reversal of 133120232311311 is 113113232021331.

133120232311311 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 0 + 2 + 32 + 311 + 311 = 666.

It is not a de Polignac number, because 133120232311311 - 2² = 133120232311307 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120232311321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9504826 + ... + 18883383.

It is an arithmetic number, because the mean of its divisors is an integer number (3609844783600).

Almost surely, 2^{133120232311311} is an apocalyptic number.

133120232311311 is a deficient number, since it is larger than the sum of its proper divisors (97909833839089).

133120232311311 is a wasteful number, since it uses less digits than its factorization.

133120232311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28388845 (or 28388839 counting only the distinct ones).

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

Adding to 133120232311311 its reverse (113113232021331), we get a palindrome (246233464332642).

The spelling of 133120232311311 in words is "one hundred thirty-three trillion, one hundred twenty billion, two hundred thirty-two million, three hundred eleven thousand, three hundred eleven".