2167121813 has 2 divisors, whose sum is σ = 2167121814. Its totient is φ = 2167121812.

The previous prime is 2167121771. The next prime is 2167121819. The reversal of 2167121813 is 3181217612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1752510769 + 414611044 = 41863^2 + 20362^2 .

It is a cyclic number.

It is not a de Polignac number, because 2167121813 - 2¹² = 2167117717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2167121813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2167121819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083560906 + 1083560907.

It is an arithmetic number, because the mean of its divisors is an integer number (1083560907).

Almost surely, 2^2167121813 is an apocalyptic number.

It is an amenable number.

2167121813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2167121813 is an equidigital number, since it uses as much as digits as its factorization.

2167121813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 32.

The square root of 2167121813 is about 46552.3556117196. The cubic root of 2167121813 is about 1294.0799481511.

The spelling of 2167121813 in words is "two billion, one hundred sixty-seven million, one hundred twenty-one thousand, eight hundred thirteen".