1005222232013 has 2 divisors, whose sum is σ = 1005222232014. Its totient is φ = 1005222232012.

The previous prime is 1005222231919. The next prime is 1005222232019. The reversal of 1005222232013 is 3102322225001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 741229736809 + 263992495204 = 860947^2 + 513802^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005222232013 - 2⁸ = 1005222231757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005222232013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005222232019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502611116006 + 502611116007.

It is an arithmetic number, because the mean of its divisors is an integer number (502611116007).

Almost surely, 2^{1005222232013} is an apocalyptic number.

It is an amenable number.

1005222232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005222232013 is an equidigital number, since it uses as much as digits as its factorization.

1005222232013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 1005222232013 its reverse (3102322225001), we get a palindrome (4107544457014).

The spelling of 1005222232013 in words is "one trillion, five billion, two hundred twenty-two million, two hundred thirty-two thousand, thirteen".