1031100300313 has 2 divisors, whose sum is σ = 1031100300314. Its totient is φ = 1031100300312.

The previous prime is 1031100300299. The next prime is 1031100300319. The reversal of 1031100300313 is 3130030011301.

1031100300313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 634909363344 + 396190936969 = 796812^2 + 629437^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031100300313 - 2¹⁷ = 1031100169241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031100300319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515550150156 + 515550150157.

It is an arithmetic number, because the mean of its divisors is an integer number (515550150157).

Almost surely, 2^{1031100300313} is an apocalyptic number.

It is an amenable number.

1031100300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031100300313 is an equidigital number, since it uses as much as digits as its factorization.

1031100300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1031100300313 its reverse (3130030011301), we get a palindrome (4161130311614).

The spelling of 1031100300313 in words is "one trillion, thirty-one billion, one hundred million, three hundred thousand, three hundred thirteen".