1221312331241 has 2 divisors, whose sum is σ = 1221312331242. Its totient is φ = 1221312331240.

The previous prime is 1221312331157. The next prime is 1221312331249. The reversal of 1221312331241 is 1421332131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1114924810000 + 106387521241 = 1055900^2 + 326171^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221312331241 - 2²⁶ = 1221245222377 is a prime.

It is a super-2 number, since 2×1221312331241² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1221312331241.

It is not a weakly prime, because it can be changed into another prime (1221312331249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610656165620 + 610656165621.

It is an arithmetic number, because the mean of its divisors is an integer number (610656165621).

Almost surely, 2^{1221312331241} is an apocalyptic number.

It is an amenable number.

1221312331241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221312331241 is an equidigital number, since it uses as much as digits as its factorization.

1221312331241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 26.

Adding to 1221312331241 its reverse (1421332131221), we get a palindrome (2642644462462).

The spelling of 1221312331241 in words is "one trillion, two hundred twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, two hundred forty-one".