1013103121321 has 2 divisors, whose sum is σ = 1013103121322. Its totient is φ = 1013103121320.

The previous prime is 1013103121291. The next prime is 1013103121343. The reversal of 1013103121321 is 1231213013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950164855696 + 62938265625 = 974764^2 + 250875^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013103121321 - 2¹⁹ = 1013102597033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013103121361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506551560660 + 506551560661.

It is an arithmetic number, because the mean of its divisors is an integer number (506551560661).

Almost surely, 2^{1013103121321} is an apocalyptic number.

It is an amenable number.

1013103121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013103121321 is an equidigital number, since it uses as much as digits as its factorization.

1013103121321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1013103121321 its reverse (1231213013101), we get a palindrome (2244316134422).

The spelling of 1013103121321 in words is "one trillion, thirteen billion, one hundred three million, one hundred twenty-one thousand, three hundred twenty-one".