1003001022313 has 4 divisors (see below), whose sum is σ = 1003123841920. Its totient is φ = 1002878202708.

The previous prime is 1003001022307. The next prime is 1003001022319. The reversal of 1003001022313 is 3132201003001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (1003001022307) and next prime (1003001022319).

It is a cyclic number.

It is not a de Polignac number, because 1003001022313 - 2²⁵ = 1002967467881 is a prime.

It is a super-2 number, since 2×1003001022313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003001022319) 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 3 ways as a sum of consecutive naturals, for example, 61397553 + ... + 61413886.

It is an arithmetic number, because the mean of its divisors is an integer number (250780960480).

Almost surely, 2^{1003001022313} is an apocalyptic number.

It is an amenable number.

1003001022313 is a deficient number, since it is larger than the sum of its proper divisors (122819607).

1003001022313 is an equidigital number, since it uses as much as digits as its factorization.

1003001022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122819606.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1003001022313 its reverse (3132201003001), we get a palindrome (4135202025314).

The spelling of 1003001022313 in words is "one trillion, three billion, one million, twenty-two thousand, three hundred thirteen".