1013000031 has 12 divisors (see below), whose sum is σ = 1463503080. Its totient is φ = 675203760.

The previous prime is 1013000011. The next prime is 1013000033. The reversal of 1013000031 is 1300003101.

It is not a de Polignac number, because 1013000031 - 2¹³ = 1012991839 is a prime.

It is a super-2 number, since 2×1013000031² = 2052338125612001922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012999977 and 1013000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72601 + ... + 85421.

It is an arithmetic number, because the mean of its divisors is an integer number (121958590).

Almost surely, 2^1013000031 is an apocalyptic number.

1013000031 is a deficient number, since it is larger than the sum of its proper divisors (450503049).

1013000031 is a wasteful number, since it uses less digits than its factorization.

1013000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21606 (or 21603 counting only the distinct ones).

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

The square root of 1013000031 is about 31827.6614126769. The cubic root of 1013000031 is about 1004.3147002533.

Adding to 1013000031 its reverse (1300003101), we get a palindrome (2313003132).

The spelling of 1013000031 in words is "one billion, thirteen million, thirty-one", and thus it is an aban number and an uban number.