311430012402320 has 640 divisors, whose sum is σ = 893686000435200. Its totient is φ = 98638906392576.

The previous prime is 311430012402293. The next prime is 311430012402331. The reversal of 311430012402320 is 23204210034113.

It is a self number, because there is not a number n which added to its sum of digits gives 311430012402320.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10098561461 + ... + 10098592299.

It is an arithmetic number, because the mean of its divisors is an integer number (1396384375680).

Almost surely, 2^{311430012402320} 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 311430012402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446843000217600).

311430012402320 is an abundant number, since it is smaller than the sum of its proper divisors (582255988032880).

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

311430012402320 is a wasteful number, since it uses less digits than its factorization.

311430012402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31175 (or 31169 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 311430012402320 its reverse (23204210034113), we get a palindrome (334634222436433).

The spelling of 311430012402320 in words is "three hundred eleven trillion, four hundred thirty billion, twelve million, four hundred two thousand, three hundred twenty".