10123001320321 has 2 divisors, whose sum is σ = 10123001320322. Its totient is φ = 10123001320320.

The previous prime is 10123001320319. The next prime is 10123001320343. The reversal of 10123001320321 is 12302310032101.

10123001320321 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., 6058096142400 + 4064905177921 = 2461320^2 + 2016161^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123001320321 - 2¹ = 10123001320319 is a prime.

Together with 10123001320319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10123001320381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061500660160 + 5061500660161.

It is an arithmetic number, because the mean of its divisors is an integer number (5061500660161).

Almost surely, 2^{10123001320321} is an apocalyptic number.

It is an amenable number.

10123001320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123001320321 is an equidigital number, since it uses as much as digits as its factorization.

10123001320321 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 10123001320321 its reverse (12302310032101), we get a palindrome (22425311352422).

The spelling of 10123001320321 in words is "ten trillion, one hundred twenty-three billion, one million, three hundred twenty thousand, three hundred twenty-one".