1303111020313 has 2 divisors, whose sum is σ = 1303111020314. Its totient is φ = 1303111020312.

The previous prime is 1303111020251. The next prime is 1303111020329. The reversal of 1303111020313 is 3130201113031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1265888263689 + 37222756624 = 1125117^2 + 192932^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303111020313 - 2⁹ = 1303111019801 is a prime.

It is a super-2 number, since 2×1303111020313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1303111020383) 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, 651555510156 + 651555510157.

It is an arithmetic number, because the mean of its divisors is an integer number (651555510157).

Almost surely, 2^{1303111020313} is an apocalyptic number.

It is an amenable number.

1303111020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303111020313 is an equidigital number, since it uses as much as digits as its factorization.

1303111020313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1303111020313 its reverse (3130201113031), we get a palindrome (4433312133344).

The spelling of 1303111020313 in words is "one trillion, three hundred three billion, one hundred eleven million, twenty thousand, three hundred thirteen".