221023312031393 has 2 divisors, whose sum is σ = 221023312031394. Its totient is φ = 221023312031392.

The previous prime is 221023312031377. The next prime is 221023312031407. The reversal of 221023312031393 is 393130213320122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115126719602944 + 105896592428449 = 10729712^2 + 10290607^2 .

It is a cyclic number.

It is not a de Polignac number, because 221023312031393 - 2⁴ = 221023312031377 is a prime.

It is a super-2 number, since 2×221023312031393² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221023312031993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511656015696 + 110511656015697.

It is an arithmetic number, because the mean of its divisors is an integer number (110511656015697).

Almost surely, 2^{221023312031393} is an apocalyptic number.

It is an amenable number.

221023312031393 is a deficient number, since it is larger than the sum of its proper divisors (1).

221023312031393 is an equidigital number, since it uses as much as digits as its factorization.

221023312031393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 221023312031393 in words is "two hundred twenty-one trillion, twenty-three billion, three hundred twelve million, thirty-one thousand, three hundred ninety-three".