10223022013113 has 32 divisors (see below), whose sum is σ = 16781993756416. Its totient is φ = 5390514240768.

The previous prime is 10223022013081. The next prime is 10223022013121. The reversal of 10223022013113 is 31131022032201.

It is not a de Polignac number, because 10223022013113 - 2⁵ = 10223022013081 is a prime.

It is a super-3 number, since 3×10223022013113³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10223022013113.

It is not an unprimeable number, because it can be changed into a prime (10223022013133) 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 31 ways as a sum of consecutive naturals, for example, 5622406 + ... + 7215087.

It is an arithmetic number, because the mean of its divisors is an integer number (524437304888).

Almost surely, 2^{10223022013113} is an apocalyptic number.

10223022013113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10223022013113 is a deficient number, since it is larger than the sum of its proper divisors (6558971743303).

10223022013113 is a wasteful number, since it uses less digits than its factorization.

10223022013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840433.

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

Adding to 10223022013113 its reverse (31131022032201), we get a palindrome (41354044045314).

The spelling of 10223022013113 in words is "ten trillion, two hundred twenty-three billion, twenty-two million, thirteen thousand, one hundred thirteen".