1022002205713 has 6 divisors (see below), whose sum is σ = 1026407361014. Its totient is φ = 1017615876096.

The previous prime is 1022002205711. The next prime is 1022002205723. The reversal of 1022002205713 is 3175022002201.

It can be written as a sum of positive squares in 3 ways, for example, as 26111974464 + 995890231249 = 161592^2 + 997943^2 .

It is not a de Polignac number, because 1022002205713 - 2¹ = 1022002205711 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022002205711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9358320 + ... + 9466897.

Almost surely, 2^{1022002205713} is an apocalyptic number.

It is an amenable number.

1022002205713 is a deficient number, since it is larger than the sum of its proper divisors (4405155301).

1022002205713 is an frugal number, since it uses more digits than its factorization.

1022002205713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18825683 (or 18825450 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 1022002205713 its reverse (3175022002201), we get a palindrome (4197024207914).

The spelling of 1022002205713 in words is "one trillion, twenty-two billion, two million, two hundred five thousand, seven hundred thirteen".