10002313121 has 4 divisors (see below), whose sum is σ = 10347220500. Its totient is φ = 9657405744.

The previous prime is 10002313109. The next prime is 10002313133. The reversal of 10002313121 is 12131320001.

10002313121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12131320001 = 173 ⋅70123237.

It is an interprime number because it is at equal distance from previous prime (10002313109) and next prime (10002313133).

It can be written as a sum of positive squares in 2 ways, for example, as 7538580625 + 2463732496 = 86825^2 + 49636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002313121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002313096 and 10002313105.

It is not an unprimeable number, because it can be changed into a prime (10002313421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172453646 + ... + 172453703.

It is an arithmetic number, because the mean of its divisors is an integer number (2586805125).

Almost surely, 2^10002313121 is an apocalyptic number.

It is an amenable number.

10002313121 is a deficient number, since it is larger than the sum of its proper divisors (344907379).

10002313121 is an equidigital number, since it uses as much as digits as its factorization.

10002313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344907378.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10002313121 its reverse (12131320001), we get a palindrome (22133633122).

The spelling of 10002313121 in words is "ten billion, two million, three hundred thirteen thousand, one hundred twenty-one".