3133120013121 has 32 divisors (see below), whose sum is σ = 4786141593600. Its totient is φ = 1785909153600.

The previous prime is 3133120013113. The next prime is 3133120013167. The reversal of 3133120013121 is 1213100213313.

It is a happy number.

It is not a de Polignac number, because 3133120013121 - 2³ = 3133120013113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3133120053121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20779120 + ... + 20929358.

It is an arithmetic number, because the mean of its divisors is an integer number (149566924800).

Almost surely, 2^{3133120013121} is an apocalyptic number.

It is an amenable number.

3133120013121 is a deficient number, since it is larger than the sum of its proper divisors (1653021580479).

3133120013121 is a wasteful number, since it uses less digits than its factorization.

3133120013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152709.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3133120013121 its reverse (1213100213313), we get a palindrome (4346220226434).

The spelling of 3133120013121 in words is "three trillion, one hundred thirty-three billion, one hundred twenty million, thirteen thousand, one hundred twenty-one".