1303003020121 has 6 divisors (see below), whose sum is σ = 1432226460266. Its totient is φ = 1184548200000.

The previous prime is 1303003020049. The next prime is 1303003020139. The reversal of 1303003020121 is 1210203003031.

It can be written as a sum of positive squares in only one way, i.e., 1033605688896 + 269397331225 = 1016664^2 + 519035^2 .

It is not a de Polignac number, because 1303003020121 - 2¹⁵ = 1303002987353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303003020095 and 1303003020104.

It is not an unprimeable number, because it can be changed into a prime (1303003020181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5384309880 + ... + 5384310121.

Almost surely, 2^{1303003020121} is an apocalyptic number.

1303003020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1303003020121 is a deficient number, since it is larger than the sum of its proper divisors (129223440145).

1303003020121 is a wasteful number, since it uses less digits than its factorization.

1303003020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768620023 (or 10768620012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1303003020121 its reverse (1210203003031), we get a palindrome (2513206023152).

The spelling of 1303003020121 in words is "one trillion, three hundred three billion, three million, twenty thousand, one hundred twenty-one".