10013132221121 has 16 divisors (see below), whose sum is σ = 10640876596560. Its totient is φ = 9389694873600.

The previous prime is 10013132221117. The next prime is 10013132221163. The reversal of 10013132221121 is 12112223131001.

It can be written as a sum of positive squares in 8 ways, for example, as 1800322581121 + 8212809640000 = 1341761^2 + 2865800^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013132221121 - 2² = 10013132221117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10013132221093 and 10013132221102.

It is not an unprimeable number, because it can be changed into a prime (10013132221321) 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, 210473225 + ... + 210520793.

It is an arithmetic number, because the mean of its divisors is an integer number (665054787285).

Almost surely, 2^{10013132221121} is an apocalyptic number.

It is an amenable number.

10013132221121 is a deficient number, since it is larger than the sum of its proper divisors (627744375439).

10013132221121 is a wasteful number, since it uses less digits than its factorization.

10013132221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92564.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10013132221121 its reverse (12112223131001), we get a palindrome (22125355352122).

The spelling of 10013132221121 in words is "ten trillion, thirteen billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-one".