2142133313121 has 24 divisors (see below), whose sum is σ = 3126388389696. Its totient is φ = 1413248392800.

The previous prime is 2142133313107. The next prime is 2142133313129. The reversal of 2142133313121 is 1213133312412.

2142133313121 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 13 + 331 + 312 + 1 = 666.

It is not a de Polignac number, because 2142133313121 - 2¹⁸ = 2142133050977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142133313129) 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 23 ways as a sum of consecutive naturals, for example, 548791 + ... + 2141363.

It is an arithmetic number, because the mean of its divisors is an integer number (130266182904).

Almost surely, 2^{2142133313121} is an apocalyptic number.

It is an amenable number.

2142133313121 is a deficient number, since it is larger than the sum of its proper divisors (984255076575).

2142133313121 is a wasteful number, since it uses less digits than its factorization.

2142133313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594133 (or 1594130 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 2142133313121 its reverse (1213133312412), we get a palindrome (3355266625533).

The spelling of 2142133313121 in words is "two trillion, one hundred forty-two billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-one".