311350002000000 has 448 divisors, whose sum is σ = 1094576198620320. Its totient is φ = 78142720000000.

The previous prime is 311350001999977. The next prime is 311350002000041. The reversal of 311350002000000 is 200053113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 100473775 + ... + 103526225.

Almost surely, 2^{311350002000000} is an apocalyptic number.

311350002000000 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 311350002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547288099310160).

311350002000000 is an abundant number, since it is smaller than the sum of its proper divisors (783226196620320).

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

311350002000000 is an frugal number, since it uses more digits than its factorization.

311350002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052515 (or 3052478 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 311350002000000 its reverse (200053113), we get a palindrome (311350202053113).

The spelling of 311350002000000 in words is "three hundred eleven trillion, three hundred fifty billion, two million", and thus it is an aban number.