11310000031 has 16 divisors (see below), whose sum is σ = 12583188000. Its totient is φ = 10078024320.

The previous prime is 11310000007. The next prime is 11310000061. The reversal of 11310000031 is 13000001311.

11310000031 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 11310000031 - 2⁵ = 11309999999 is a prime.

It is a super-2 number, since 2×11310000031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11309999972 and 11310000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310000061) 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 15 ways as a sum of consecutive naturals, for example, 628345 + ... + 646093.

It is an arithmetic number, because the mean of its divisors is an integer number (786449250).

Almost surely, 2^11310000031 is an apocalyptic number.

11310000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11310000031 is a deficient number, since it is larger than the sum of its proper divisors (1273187969).

11310000031 is a wasteful number, since it uses less digits than its factorization.

11310000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18906.

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

Adding to 11310000031 its reverse (13000001311), we get a palindrome (24310001342).

The spelling of 11310000031 in words is "eleven billion, three hundred ten million, thirty-one", and thus it is an aban number.