311430020314320 has 480 divisors, whose sum is σ = 1109593507756032. Its totient is φ = 78116449517568.

The previous prime is 311430020314291. The next prime is 311430020314337. The reversal of 311430020314320 is 23413020034113.

It is a happy number.

311430020314320 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 3 + 0 + 0 + 20 + 314 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407010337 + ... + 407774783.

Almost surely, 2^{311430020314320} is an apocalyptic number.

311430020314320 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 311430020314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554796753878016).

311430020314320 is an abundant number, since it is smaller than the sum of its proper divisors (798163487441712).

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

311430020314320 is a wasteful number, since it uses less digits than its factorization.

311430020314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764899 (or 764890 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 311430020314320 its reverse (23413020034113), we get a palindrome (334843040348433).

The spelling of 311430020314320 in words is "three hundred eleven trillion, four hundred thirty billion, twenty million, three hundred fourteen thousand, three hundred twenty".