10013022221313 has 32 divisors (see below), whose sum is σ = 14260600037376. Its totient is φ = 6234236604288.

The previous prime is 10013022221311. The next prime is 10013022221341. The reversal of 10013022221313 is 31312222031001.

It is not a de Polignac number, because 10013022221313 - 2¹ = 10013022221311 is a prime.

It is a super-3 number, since 3×10013022221313³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10013022221313.

It is not an unprimeable number, because it can be changed into a prime (10013022221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7119856 + ... + 8409422.

It is an arithmetic number, because the mean of its divisors is an integer number (445643751168).

Almost surely, 2^{10013022221313} is an apocalyptic number.

It is an amenable number.

10013022221313 is a deficient number, since it is larger than the sum of its proper divisors (4247577816063).

10013022221313 is a wasteful number, since it uses less digits than its factorization.

10013022221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292253.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10013022221313 its reverse (31312222031001), we get a palindrome (41325244252314).

The spelling of 10013022221313 in words is "ten trillion, thirteen billion, twenty-two million, two hundred twenty-one thousand, three hundred thirteen".