10002324332113 has 2 divisors, whose sum is σ = 10002324332114. Its totient is φ = 10002324332112.

The previous prime is 10002324332111. The next prime is 10002324332177. The reversal of 10002324332113 is 31123342320001.

10002324332113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9065199657409 + 937124674704 = 3010847^2 + 968052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002324332113 - 2¹ = 10002324332111 is a prime.

Together with 10002324332111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002324332111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001162166056 + 5001162166057.

It is an arithmetic number, because the mean of its divisors is an integer number (5001162166057).

Almost surely, 2^{10002324332113} is an apocalyptic number.

It is an amenable number.

10002324332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002324332113 is an equidigital number, since it uses as much as digits as its factorization.

10002324332113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10002324332113 its reverse (31123342320001), we get a palindrome (41125666652114).

The spelling of 10002324332113 in words is "ten trillion, two billion, three hundred twenty-four million, three hundred thirty-two thousand, one hundred thirteen".