1000311330313 has 2 divisors, whose sum is σ = 1000311330314. Its totient is φ = 1000311330312.

The previous prime is 1000311330311. The next prime is 1000311330323. The reversal of 1000311330313 is 3130331130001.

It is a happy number.

1000311330313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 971638004089 + 28673326224 = 985717^2 + 169332^2 .

It is an emirp because it is prime and its reverse (3130331130001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000311330313 - 2¹ = 1000311330311 is a prime.

Together with 1000311330311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000311330311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500155665156 + 500155665157.

It is an arithmetic number, because the mean of its divisors is an integer number (500155665157).

Almost surely, 2^{1000311330313} is an apocalyptic number.

It is an amenable number.

1000311330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000311330313 is an equidigital number, since it uses as much as digits as its factorization.

1000311330313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1000311330313 its reverse (3130331130001), we get a palindrome (4130642460314).

The spelling of 1000311330313 in words is "one trillion, three hundred eleven million, three hundred thirty thousand, three hundred thirteen".