1001023000313 has 16 divisors (see below), whose sum is σ = 1166891567616. Its totient is φ = 840906306240.

The previous prime is 1001023000279. The next prime is 1001023000333. The reversal of 1001023000313 is 3130003201001.

It is not a de Polignac number, because 1001023000313 - 2¹⁶ = 1001022934777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001023000333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142906 + ... + 1818867.

It is an arithmetic number, because the mean of its divisors is an integer number (72930722976).

Almost surely, 2^{1001023000313} is an apocalyptic number.

It is an amenable number.

1001023000313 is a deficient number, since it is larger than the sum of its proper divisors (165868567303).

1001023000313 is an equidigital number, since it uses as much as digits as its factorization.

1001023000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962744.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1001023000313 its reverse (3130003201001), we get a palindrome (4131026201314).

The spelling of 1001023000313 in words is "one trillion, one billion, twenty-three million, three hundred thirteen", and thus it is an aban number.