1013301222001 has 2 divisors, whose sum is σ = 1013301222002. Its totient is φ = 1013301222000.

The previous prime is 1013301221957. The next prime is 1013301222041. The reversal of 1013301222001 is 1002221033101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 565473920400 + 447827301601 = 751980^2 + 669199^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013301222001 - 2¹³ = 1013301213809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013301222041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506650611000 + 506650611001.

It is an arithmetic number, because the mean of its divisors is an integer number (506650611001).

Almost surely, 2^{1013301222001} is an apocalyptic number.

It is an amenable number.

1013301222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013301222001 is an equidigital number, since it uses as much as digits as its factorization.

1013301222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1013301222001 its reverse (1002221033101), we get a palindrome (2015522255102).

The spelling of 1013301222001 in words is "one trillion, thirteen billion, three hundred one million, two hundred twenty-two thousand, one".