2133106013312 has 32 divisors (see below), whose sum is σ = 4249919498880. Its totient is φ = 1066459550976.

The previous prime is 2133106013293. The next prime is 2133106013323.

2133106013312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 748013 + ... + 2196755.

It is an arithmetic number, because the mean of its divisors is an integer number (132809984340).

Almost surely, 2^{2133106013312} is an apocalyptic number.

It is an amenable number.

2133106013312 is a deficient number, since it is larger than the sum of its proper divisors (2116813485568).

2133106013312 is a wasteful number, since it uses less digits than its factorization.

2133106013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460260 (or 1460248 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 2133106013312 in words is "two trillion, one hundred thirty-three billion, one hundred six million, thirteen thousand, three hundred twelve".