1001031003013 has 16 divisors (see below), whose sum is σ = 1038972248064. Its totient is φ = 963822222000.

The previous prime is 1001031002941. The next prime is 1001031003017. The reversal of 1001031003013 is 3103001301001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001031003013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001031002984 and 1001031003002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001031003017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2153256 + ... + 2576542.

It is an arithmetic number, because the mean of its divisors is an integer number (64935765504).

Almost surely, 2^{1001031003013} is an apocalyptic number.

It is an amenable number.

1001031003013 is a deficient number, since it is larger than the sum of its proper divisors (37941245051).

1001031003013 is an equidigital number, since it uses as much as digits as its factorization.

1001031003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424152.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1001031003013 its reverse (3103001301001), we get a palindrome (4104032304014).

The spelling of 1001031003013 in words is "one trillion, one billion, thirty-one million, three thousand, thirteen".