13030313311121 has 2 divisors, whose sum is σ = 13030313311122. Its totient is φ = 13030313311120.

The previous prime is 13030313311069. The next prime is 13030313311123. The reversal of 13030313311121 is 12111331303031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12409337790721 + 620975520400 = 3522689^2 + 788020^2 .

It is an emirp because it is prime and its reverse (12111331303031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13030313311121 - 2²² = 13030309116817 is a prime.

Together with 13030313311123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13030313311123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515156655560 + 6515156655561.

It is an arithmetic number, because the mean of its divisors is an integer number (6515156655561).

Almost surely, 2^{13030313311121} is an apocalyptic number.

It is an amenable number.

13030313311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13030313311121 is an equidigital number, since it uses as much as digits as its factorization.

13030313311121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13030313311121 its reverse (12111331303031), we get a palindrome (25141644614152).

The spelling of 13030313311121 in words is "thirteen trillion, thirty billion, three hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".