2122105130013 has 32 divisors (see below), whose sum is σ = 3153335961600. Its totient is φ = 1258375381760.

The previous prime is 2122105130003. The next prime is 2122105130063. The reversal of 2122105130013 is 3100315012212.

It is a cyclic number.

It is not a de Polignac number, because 2122105130013 - 2¹³ = 2122105121821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122105130003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4909381 + ... + 5324117.

It is an arithmetic number, because the mean of its divisors is an integer number (98541748800).

Almost surely, 2^{2122105130013} is an apocalyptic number.

It is an amenable number.

2122105130013 is a deficient number, since it is larger than the sum of its proper divisors (1031230831587).

2122105130013 is a wasteful number, since it uses less digits than its factorization.

2122105130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418097.

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 2122105130013 in words is "two trillion, one hundred twenty-two billion, one hundred five million, one hundred thirty thousand, thirteen".