1000313332313 has 16 divisors (see below), whose sum is σ = 1006668000000. Its totient is φ = 993983047680.

The previous prime is 1000313332309. The next prime is 1000313332339. The reversal of 1000313332313 is 3132333130001.

It is a cyclic number.

It is not a de Polignac number, because 1000313332313 - 2² = 1000313332309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000313332303) 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 in 15 ways as a sum of consecutive naturals, for example, 200100188 + ... + 200105186.

It is an arithmetic number, because the mean of its divisors is an integer number (62916750000).

Almost surely, 2^{1000313332313} is an apocalyptic number.

It is an amenable number.

1000313332313 is a deficient number, since it is larger than the sum of its proper divisors (6354667687).

1000313332313 is a wasteful number, since it uses less digits than its factorization.

1000313332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1000313332313 its reverse (3132333130001), we get a palindrome (4132646462314).

It can be divided in two parts, 1000 and 313332313, that added together give a palindrome (313333313).

The spelling of 1000313332313 in words is "one trillion, three hundred thirteen million, three hundred thirty-two thousand, three hundred thirteen".