1023103111313 has 2 divisors, whose sum is σ = 1023103111314. Its totient is φ = 1023103111312.

The previous prime is 1023103111309. The next prime is 1023103111319. The reversal of 1023103111313 is 3131113013201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 542510321809 + 480592789504 = 736553^2 + 693248^2 .

It is an emirp because it is prime and its reverse (3131113013201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023103111313 - 2² = 1023103111309 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023103111319) 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, 511551555656 + 511551555657.

It is an arithmetic number, because the mean of its divisors is an integer number (511551555657).

Almost surely, 2^{1023103111313} is an apocalyptic number.

It is an amenable number.

1023103111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023103111313 is an equidigital number, since it uses as much as digits as its factorization.

1023103111313 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 20.

Adding to 1023103111313 its reverse (3131113013201), we get a palindrome (4154216124514).

The spelling of 1023103111313 in words is "one trillion, twenty-three billion, one hundred three million, one hundred eleven thousand, three hundred thirteen".