311000310000000 has 640 divisors, whose sum is σ = 1156914905477760. Its totient is φ = 82933200000000.

The previous prime is 311000309999917. The next prime is 311000310000013. The reversal of 311000310000000 is 13000113.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×311000310000000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 809808025 + ... + 810191975.

It is an arithmetic number, because the mean of its divisors is an integer number (1807679539809).

Almost surely, 2^{311000310000000} is an apocalyptic number.

311000310000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311000310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578457452738880).

311000310000000 is an abundant number, since it is smaller than the sum of its proper divisors (845914595477760).

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

311000310000000 is an frugal number, since it uses more digits than its factorization.

311000310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384012 (or 383961 counting only the distinct ones).

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

Adding to 311000310000000 its reverse (13000113), we get a palindrome (311000323000113).

The spelling of 311000310000000 in words is "three hundred eleven trillion, three hundred ten million", and thus it is an aban number.