1303003110113 has 2 divisors, whose sum is σ = 1303003110114. Its totient is φ = 1303003110112.

The previous prime is 1303003110029. The next prime is 1303003110127. The reversal of 1303003110113 is 3110113003031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 911217248929 + 391785861184 = 954577^2 + 625928^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303003110113 - 2²² = 1302998915809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1303003110091 and 1303003110100.

It is not a weakly prime, because it can be changed into another prime (1303003110133) 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 as a sum of consecutive naturals, namely, 651501555056 + 651501555057.

It is an arithmetic number, because the mean of its divisors is an integer number (651501555057).

Almost surely, 2^{1303003110113} is an apocalyptic number.

It is an amenable number.

1303003110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303003110113 is an equidigital number, since it uses as much as digits as its factorization.

1303003110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1303003110113 its reverse (3110113003031), we get a palindrome (4413116113144).

The spelling of 1303003110113 in words is "one trillion, three hundred three billion, three million, one hundred ten thousand, one hundred thirteen".