10231221000113 has 16 divisors (see below), whose sum is σ = 10308000502800. Its totient is φ = 10154657451264.

The previous prime is 10231221000109. The next prime is 10231221000127. The reversal of 10231221000113 is 31100012213201.

It can be written as a sum of positive squares in 8 ways, for example, as 27751561744 + 10203469438369 = 166588^2 + 3194287^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231221000113 - 2² = 10231221000109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10231221000091 and 10231221000100.

It is not an unprimeable number, because it can be changed into a prime (10231221000613) 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, 287594195 + ... + 287629767.

It is an arithmetic number, because the mean of its divisors is an integer number (644250031425).

Almost surely, 2^{10231221000113} is an apocalyptic number.

It is an amenable number.

10231221000113 is a deficient number, since it is larger than the sum of its proper divisors (76779502687).

10231221000113 is a wasteful number, since it uses less digits than its factorization.

10231221000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38548.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10231221000113 its reverse (31100012213201), we get a palindrome (41331233213314).

The spelling of 10231221000113 in words is "ten trillion, two hundred thirty-one billion, two hundred twenty-one million, one hundred thirteen", and thus it is an aban number.