10222212013 has 16 divisors (see below), whose sum is σ = 11776287600. Its totient is φ = 8789262336.

The previous prime is 10222211981. The next prime is 10222212041. The reversal of 10222212013 is 31021222201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40998409 + 10181213604 = 6403^2 + 100902^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222212013 - 2⁵ = 10222211981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222212083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216988 + ... + 259861.

It is an arithmetic number, because the mean of its divisors is an integer number (736017975).

Almost surely, 2^10222212013 is an apocalyptic number.

10222212013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10222212013 is a deficient number, since it is larger than the sum of its proper divisors (1554075587).

10222212013 is a wasteful number, since it uses less digits than its factorization.

10222212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476976.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222212013 its reverse (31021222201), we get a palindrome (41243434214).

The spelling of 10222212013 in words is "ten billion, two hundred twenty-two million, two hundred twelve thousand, thirteen".