10013332121113 has 4 divisors (see below), whose sum is σ = 10014797565108. Its totient is φ = 10011866677120.

The previous prime is 10013332121099. The next prime is 10013332121179. The reversal of 10013332121113 is 31112123331001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 465707975184 + 9547624145929 = 682428^2 + 3089923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013332121113 - 2⁵ = 10013332121081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013332121413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 732711748 + ... + 732725413.

It is an arithmetic number, because the mean of its divisors is an integer number (2503699391277).

Almost surely, 2^{10013332121113} is an apocalyptic number.

It is an amenable number.

10013332121113 is a deficient number, since it is larger than the sum of its proper divisors (1465443995).

10013332121113 is an equidigital number, since it uses as much as digits as its factorization.

10013332121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465443994.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10013332121113 its reverse (31112123331001), we get a palindrome (41125455452114).

The spelling of 10013332121113 in words is "ten trillion, thirteen billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred thirteen".