1221003133013 has 2 divisors, whose sum is σ = 1221003133014. Its totient is φ = 1221003133012.

The previous prime is 1221003132989. The next prime is 1221003133027. The reversal of 1221003133013 is 3103313001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1039631062129 + 181372070884 = 1019623^2 + 425878^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221003133013 - 2¹⁰ = 1221003131989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221003133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610501566506 + 610501566507.

It is an arithmetic number, because the mean of its divisors is an integer number (610501566507).

Almost surely, 2^{1221003133013} is an apocalyptic number.

It is an amenable number.

1221003133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221003133013 is an equidigital number, since it uses as much as digits as its factorization.

1221003133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1221003133013 its reverse (3103313001221), we get a palindrome (4324316134234).

The spelling of 1221003133013 in words is "one trillion, two hundred twenty-one billion, three million, one hundred thirty-three thousand, thirteen".