13101121301321 has 2 divisors, whose sum is σ = 13101121301322. Its totient is φ = 13101121301320.

The previous prime is 13101121301293. The next prime is 13101121301339. The reversal of 13101121301321 is 12310312110131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13098753408400 + 2367892921 = 3619220^2 + 48661^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101121301321 - 2¹⁸ = 13101121039177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101121301293 and 13101121301302.

It is not a weakly prime, because it can be changed into another prime (13101121301341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550560650660 + 6550560650661.

It is an arithmetic number, because the mean of its divisors is an integer number (6550560650661).

Almost surely, 2^{13101121301321} is an apocalyptic number.

It is an amenable number.

13101121301321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101121301321 is an equidigital number, since it uses as much as digits as its factorization.

13101121301321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13101121301321 its reverse (12310312110131), we get a palindrome (25411433411452).

The spelling of 13101121301321 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, three hundred one thousand, three hundred twenty-one".