311010012 has 72 divisors (see below), whose sum is σ = 849976400. Its totient is φ = 95551488.

The previous prime is 311010001. The next prime is 311010017. The reversal of 311010012 is 210010113.

311010012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 311009976 and 311010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19164 + ... + 31452.

Almost surely, 2^311010012 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 311010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424988200).

311010012 is an abundant number, since it is smaller than the sum of its proper divisors (538966388).

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

311010012 is a wasteful number, since it uses less digits than its factorization.

311010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12355 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 311010012 is about 17635.4759504812. The cubic root of 311010012 is about 677.5241655664.

Adding to 311010012 its reverse (210010113), we get a palindrome (521020125).

The spelling of 311010012 in words is "three hundred eleven million, ten thousand, twelve".