1003013121001 has 2 divisors, whose sum is σ = 1003013121002. Its totient is φ = 1003013121000.

The previous prime is 1003013120999. The next prime is 1003013121023. The reversal of 1003013121001 is 1001213103001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 597784117225 + 405229003776 = 773165^2 + 636576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003013121001 - 2¹ = 1003013120999 is a prime.

Together with 1003013120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1003013121401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501506560500 + 501506560501.

It is an arithmetic number, because the mean of its divisors is an integer number (501506560501).

Almost surely, 2^{1003013121001} is an apocalyptic number.

It is an amenable number.

1003013121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003013121001 is an equidigital number, since it uses as much as digits as its factorization.

1003013121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1003013121001 its reverse (1001213103001), we get a palindrome (2004226224002).

The spelling of 1003013121001 in words is "one trillion, three billion, thirteen million, one hundred twenty-one thousand, one".