10131223123321 has 2 divisors, whose sum is σ = 10131223123322. Its totient is φ = 10131223123320.

The previous prime is 10131223123319. The next prime is 10131223123337. The reversal of 10131223123321 is 12332132213101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10091175108921 + 40048014400 = 3176661^2 + 200120^2 .

It is an emirp because it is prime and its reverse (12332132213101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131223123321 - 2¹ = 10131223123319 is a prime.

Together with 10131223123319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10131223123361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065611561660 + 5065611561661.

It is an arithmetic number, because the mean of its divisors is an integer number (5065611561661).

Almost surely, 2^{10131223123321} is an apocalyptic number.

It is an amenable number.

10131223123321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131223123321 is an equidigital number, since it uses as much as digits as its factorization.

10131223123321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10131223123321 its reverse (12332132213101), we get a palindrome (22463355336422).

The spelling of 10131223123321 in words is "ten trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-three thousand, three hundred twenty-one".