1013113031 has 16 divisors (see below), whose sum is σ = 1165871616. Its totient is φ = 862383456.

The previous prime is 1013113027. The next prime is 1013113033. The reversal of 1013113031 is 1303113101.

It is a happy number.

1013113031 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 1013113031 - 2² = 1013113027 is a prime.

It is a super-2 number, since 2×1013113031² = 2052796027164013922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013112997 and 1013113015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013113033) 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, 1154765 + ... + 1155641.

It is an arithmetic number, because the mean of its divisors is an integer number (72866976).

Almost surely, 2^1013113031 is an apocalyptic number.

1013113031 is a deficient number, since it is larger than the sum of its proper divisors (152758585).

1013113031 is an equidigital number, since it uses as much as digits as its factorization.

1013113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1013113031 is about 31829.4365485787. The cubic root of 1013113031 is about 1004.3520425824.

Adding to 1013113031 its reverse (1303113101), we get a palindrome (2316226132).

The spelling of 1013113031 in words is "one billion, thirteen million, one hundred thirteen thousand, thirty-one".