1003131121021 has 2 divisors, whose sum is σ = 1003131121022. Its totient is φ = 1003131121020.

The previous prime is 1003131121001. The next prime is 1003131121037. The reversal of 1003131121021 is 1201211313001.

It is a happy number.

It is an a-pointer prime, because the next prime (1003131121037) can be obtained adding 1003131121021 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000310024025 + 2821096996 = 1000155^2 + 53114^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003131121021 - 2¹¹ = 1003131118973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003131120986 and 1003131121004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003131121001) 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, 501565560510 + 501565560511.

It is an arithmetic number, because the mean of its divisors is an integer number (501565560511).

Almost surely, 2^{1003131121021} is an apocalyptic number.

It is an amenable number.

1003131121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003131121021 is an equidigital number, since it uses as much as digits as its factorization.

1003131121021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1003131121021 its reverse (1201211313001), we get a palindrome (2204342434022).

The spelling of 1003131121021 in words is "one trillion, three billion, one hundred thirty-one million, one hundred twenty-one thousand, twenty-one".