2121134011213 has 16 divisors (see below), whose sum is σ = 2512511858560. Its totient is φ = 1752747460416.

The previous prime is 2121134011201. The next prime is 2121134011223. The reversal of 2121134011213 is 3121104311212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121134011213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121134011223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37539231 + ... + 37595692.

It is an arithmetic number, because the mean of its divisors is an integer number (157031991160).

Almost surely, 2^{2121134011213} is an apocalyptic number.

It is an amenable number.

2121134011213 is a deficient number, since it is larger than the sum of its proper divisors (391377847347).

2121134011213 is a wasteful number, since it uses less digits than its factorization.

2121134011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75135076.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 2121134011213 its reverse (3121104311212), we get a palindrome (5242238322425).

The spelling of 2121134011213 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-four million, eleven thousand, two hundred thirteen".