1013001031 has 16 divisors (see below), whose sum is σ = 1199577600. Its totient is φ = 837446688.

The previous prime is 1013000969. The next prime is 1013001053. The reversal of 1013001031 is 1301003101.

1013001031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1013001031 - 2¹⁷ = 1012869959 is a prime.

It is a super-2 number, since 2×1013001031² = 2052342177614125922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013000999 and 1013001017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013001061) 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, 1251 + ... + 45028.

It is an arithmetic number, because the mean of its divisors is an integer number (74973600).

Almost surely, 2^1013001031 is an apocalyptic number.

1013001031 is a deficient number, since it is larger than the sum of its proper divisors (186576569).

1013001031 is an equidigital number, since it uses as much as digits as its factorization.

1013001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46398.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1013001031 is about 31827.6771222783. The cubic root of 1013001031 is about 1004.3150307286.

Adding to 1013001031 its reverse (1301003101), we get a palindrome (2314004132).

The spelling of 1013001031 in words is "one billion, thirteen million, one thousand, thirty-one".