1003311211013 has 2 divisors, whose sum is σ = 1003311211014. Its totient is φ = 1003311211012.

The previous prime is 1003311211003. The next prime is 1003311211033. The reversal of 1003311211013 is 3101121133001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 590019088129 + 413292122884 = 768127^2 + 642878^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003311211013 - 2⁸ = 1003311210757 is a prime.

It is a super-2 number, since 2×1003311211013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003311210982 and 1003311211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003311211003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501655605506 + 501655605507.

It is an arithmetic number, because the mean of its divisors is an integer number (501655605507).

Almost surely, 2^{1003311211013} is an apocalyptic number.

It is an amenable number.

1003311211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003311211013 is an equidigital number, since it uses as much as digits as its factorization.

1003311211013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1003311211013 its reverse (3101121133001), we get a palindrome (4104432344014).

The spelling of 1003311211013 in words is "one trillion, three billion, three hundred eleven million, two hundred eleven thousand, thirteen".