10022013341333 has 24 divisors (see below), whose sum is σ = 12344965146072. Its totient is φ = 8084379899904.

The previous prime is 10022013341321. The next prime is 10022013341387. The reversal of 10022013341333 is 33314331022001.

It can be written as a sum of positive squares in 4 ways, for example, as 4362909982564 + 5659103358769 = 2088758^2 + 2378887^2 .

It is not a de Polignac number, because 10022013341333 - 2⁸ = 10022013341077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022013341033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10845791 + ... + 11733507.

It is an arithmetic number, because the mean of its divisors is an integer number (514373547753).

Almost surely, 2^{10022013341333} is an apocalyptic number.

It is an amenable number.

10022013341333 is a deficient number, since it is larger than the sum of its proper divisors (2322951804739).

10022013341333 is a wasteful number, since it uses less digits than its factorization.

10022013341333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901301 (or 901294 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10022013341333 its reverse (33314331022001), we get a palindrome (43336344363334).

The spelling of 10022013341333 in words is "ten trillion, twenty-two billion, thirteen million, three hundred forty-one thousand, three hundred thirty-three".