133133013311121 has 12 divisors (see below), whose sum is σ = 192527632640772. Its totient is φ = 88651777042176.

The previous prime is 133133013311117. The next prime is 133133013311149. The reversal of 133133013311121 is 121113310331331.

133133013311121 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 301 + 331 + 1 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73234143713025 + 59898869598096 = 8557695^2 + 7739436^2 .

It is not a de Polignac number, because 133133013311121 - 2² = 133133013311117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133133013311161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8630422296 + ... + 8630437721.

It is an arithmetic number, because the mean of its divisors is an integer number (16043969386731).

Almost surely, 2^{133133013311121} is an apocalyptic number.

It is an amenable number.

133133013311121 is a deficient number, since it is larger than the sum of its proper divisors (59394619329651).

133133013311121 is a wasteful number, since it uses less digits than its factorization.

133133013311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17260860880 (or 17260860877 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 133133013311121 its reverse (121113310331331), we get a palindrome (254246323642452).

The spelling of 133133013311121 in words is "one hundred thirty-three trillion, one hundred thirty-three billion, thirteen million, three hundred eleven thousand, one hundred twenty-one".