311302200000000 has 1440 divisors, whose sum is σ = 1144544601492864. Its totient is φ = 74560000000000.

The previous prime is 311302199999939. The next prime is 311302200000007. The reversal of 311302200000000 is 2203113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311302200000007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 666599999767 + ... + 666600000233.

Almost surely, 2^{311302200000000} is an apocalyptic number.

311302200000000 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 311302200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572272300746432).

311302200000000 is an abundant number, since it is smaller than the sum of its proper divisors (833242401492864).

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

311302200000000 is an frugal number, since it uses more digits than its factorization.

311302200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 311302200000000 its reverse (2203113), we get a palindrome (311302202203113).

The spelling of 311302200000000 in words is "three hundred eleven trillion, three hundred two billion, two hundred million", and thus it is an aban number.