10022002000013 has 2 divisors, whose sum is σ = 10022002000014. Its totient is φ = 10022002000012.

The previous prime is 10022002000009. The next prime is 10022002000033. The reversal of 10022002000013 is 31000020022001.

It is a happy number.

10022002000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8538446331844 + 1483555668169 = 2922062^2 + 1218013^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022002000013 - 2² = 10022002000009 is a prime.

It is a super-3 number, since 3×10022002000013³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022001999958 and 10022002000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022002000033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011001000006 + 5011001000007.

It is an arithmetic number, because the mean of its divisors is an integer number (5011001000007).

Almost surely, 2^{10022002000013} is an apocalyptic number.

It is an amenable number.

10022002000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022002000013 is an equidigital number, since it uses as much as digits as its factorization.

10022002000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10022002000013 its reverse (31000020022001), we get a palindrome (41022022022014).

The spelling of 10022002000013 in words is "ten trillion, twenty-two billion, two million, thirteen", and thus it is an aban number and an uban number.