100303311031 has 16 divisors (see below), whose sum is σ = 125110199808. Its totient is φ = 78122973600.

The previous prime is 100303311001. The next prime is 100303311089. The reversal of 100303311031 is 130113303001.

It is not a de Polignac number, because 100303311031 - 2¹¹ = 100303308983 is a prime.

It is a super-2 number, since 2×100303311031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100303310996 and 100303311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303311001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123915 + ... + 464716.

It is an arithmetic number, because the mean of its divisors is an integer number (7819387488).

Almost surely, 2^100303311031 is an apocalyptic number.

100303311031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100303311031 is a deficient number, since it is larger than the sum of its proper divisors (24806888777).

100303311031 is a wasteful number, since it uses less digits than its factorization.

100303311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590862.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100303311031 its reverse (130113303001), we get a palindrome (230416614032).

The spelling of 100303311031 in words is "one hundred billion, three hundred three million, three hundred eleven thousand, thirty-one".