1301321031121 has 2 divisors, whose sum is σ = 1301321031122. Its totient is φ = 1301321031120.

The previous prime is 1301321031097. The next prime is 1301321031181. The reversal of 1301321031121 is 1211301231031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1258347741121 + 42973290000 = 1121761^2 + 207300^2 .

It is an emirp because it is prime and its reverse (1211301231031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1301321031121 - 2¹⁵ = 1301320998353 is a prime.

It is not a weakly prime, because it can be changed into another prime (1301321031181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650660515560 + 650660515561.

It is an arithmetic number, because the mean of its divisors is an integer number (650660515561).

Almost surely, 2^{1301321031121} is an apocalyptic number.

It is an amenable number.

1301321031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301321031121 is an equidigital number, since it uses as much as digits as its factorization.

1301321031121 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 19.

Adding to 1301321031121 its reverse (1211301231031), we get a palindrome (2512622262152).

The spelling of 1301321031121 in words is "one trillion, three hundred one billion, three hundred twenty-one million, thirty-one thousand, one hundred twenty-one".