303113000112 has 240 divisors, whose sum is σ = 855698981760. Its totient is φ = 92413820928.

The previous prime is 303113000087. The next prime is 303113000159. The reversal of 303113000112 is 211000311303.

It is a junction number, because it is equal to n+sod(n) for n = 303113000091 and 303113000100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 723419839 + ... + 723420257.

It is an arithmetic number, because the mean of its divisors is an integer number (3565412424).

Almost surely, 2^303113000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303113000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427849490880).

303113000112 is an abundant number, since it is smaller than the sum of its proper divisors (552585981648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303113000112 is a wasteful number, since it uses less digits than its factorization.

303113000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 303113000112 its reverse (211000311303), we get a palindrome (514113311415).

The spelling of 303113000112 in words is "three hundred three billion, one hundred thirteen million, one hundred twelve", and thus it is an aban number.