2221331312093 has 2 divisors, whose sum is σ = 2221331312094. Its totient is φ = 2221331312092.

The previous prime is 2221331312069. The next prime is 2221331312111. The reversal of 2221331312093 is 3902131331222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1180519191289 + 1040812120804 = 1086517^2 + 1020202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221331312093 - 2²⁶ = 2221264203229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221331312293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110665656046 + 1110665656047.

It is an arithmetic number, because the mean of its divisors is an integer number (1110665656047).

Almost surely, 2^{2221331312093} is an apocalyptic number.

It is an amenable number.

2221331312093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221331312093 is an equidigital number, since it uses as much as digits as its factorization.

2221331312093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 2221331312093 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-one million, three hundred twelve thousand, ninety-three".