311315324322000 has 80 divisors (see below), whose sum is σ = 1003680605633472. Its totient is φ = 83017419817600.

The previous prime is 311315324321941. The next prime is 311315324322017. The reversal of 311315324322000 is 223423513113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25942937694 + ... + 25942949693.

Almost surely, 2^{311315324322000} is an apocalyptic number.

311315324322000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311315324322000 is an abundant number, since it is smaller than the sum of its proper divisors (692365281311472).

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

311315324322000 is a wasteful number, since it uses less digits than its factorization.

311315324322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51885887413 (or 51885887397 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 311315324322000 its reverse (223423513113), we get a palindrome (311538747835113).

The spelling of 311315324322000 in words is "three hundred eleven trillion, three hundred fifteen billion, three hundred twenty-four million, three hundred twenty-two thousand".