10013200132321 has 2 divisors, whose sum is σ = 10013200132322. Its totient is φ = 10013200132320.

The previous prime is 10013200132319. The next prime is 10013200132343. The reversal of 10013200132321 is 12323100231001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8099858300625 + 1913341831696 = 2846025^2 + 1383236^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013200132321 - 2¹ = 10013200132319 is a prime.

Together with 10013200132319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10013200132021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006600066160 + 5006600066161.

It is an arithmetic number, because the mean of its divisors is an integer number (5006600066161).

Almost surely, 2^{10013200132321} is an apocalyptic number.

It is an amenable number.

10013200132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013200132321 is an equidigital number, since it uses as much as digits as its factorization.

10013200132321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10013200132321 its reverse (12323100231001), we get a palindrome (22336300363322).

The spelling of 10013200132321 in words is "ten trillion, thirteen billion, two hundred million, one hundred thirty-two thousand, three hundred twenty-one".