10011300031 has 2 divisors, whose sum is σ = 10011300032. Its totient is φ = 10011300030.

The previous prime is 10011300023. The next prime is 10011300037. The reversal of 10011300031 is 13000311001.

10011300031 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10011300031 - 2³ = 10011300023 is a prime.

It is a super-2 number, since 2×10011300031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011299990 and 10011300017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011300037) 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 as a sum of consecutive naturals, namely, 5005650015 + 5005650016.

It is an arithmetic number, because the mean of its divisors is an integer number (5005650016).

Almost surely, 2^10011300031 is an apocalyptic number.

10011300031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011300031 is an equidigital number, since it uses as much as digits as its factorization.

10011300031 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10011300031 its reverse (13000311001), we get a palindrome (23011611032).

It can be divided in two parts, 1001 and 1300031, that multiplied together give a palindrome (1301331031).

The spelling of 10011300031 in words is "ten billion, eleven million, three hundred thousand, thirty-one".