1002031123313 has 24 divisors (see below), whose sum is σ = 1141815886848. Its totient is φ = 877768056000.

The previous prime is 1002031123229. The next prime is 1002031123319. The reversal of 1002031123313 is 3133211302001.

It is not a de Polignac number, because 1002031123313 - 2²⁰ = 1002030074737 is a prime.

It is a super-2 number, since 2×1002031123313² (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 (1002031123319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300728 + ... + 1447238.

It is an arithmetic number, because the mean of its divisors is an integer number (47575661952).

Almost surely, 2^{1002031123313} is an apocalyptic number.

It is an amenable number.

1002031123313 is a deficient number, since it is larger than the sum of its proper divisors (139784763535).

1002031123313 is a wasteful number, since it uses less digits than its factorization.

1002031123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146797 (or 1146786 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1002031123313 its reverse (3133211302001), we get a palindrome (4135242425314).

The spelling of 1002031123313 in words is "one trillion, two billion, thirty-one million, one hundred twenty-three thousand, three hundred thirteen".