10223112013 has 32 divisors (see below), whose sum is σ = 11580687360. Its totient is φ = 8977288320.

The previous prime is 10223112007. The next prime is 10223112049. The reversal of 10223112013 is 31021132201.

It is a cyclic number.

It is not a de Polignac number, because 10223112013 - 2⁹ = 10223111501 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 (10223172013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2459545 + ... + 2463697.

It is an arithmetic number, because the mean of its divisors is an integer number (361896480).

Almost surely, 2^10223112013 is an apocalyptic number.

It is an amenable number.

10223112013 is a deficient number, since it is larger than the sum of its proper divisors (1357575347).

10223112013 is a wasteful number, since it uses less digits than its factorization.

10223112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10223112013 its reverse (31021132201), we get a palindrome (41244244214).

It can be divided in two parts, 102231 and 12013, that added together give a square (114244 = 338²).

The spelling of 10223112013 in words is "ten billion, two hundred twenty-three million, one hundred twelve thousand, thirteen".