311521320000 has 840 divisors, whose sum is σ = 1231293135072. Its totient is φ = 74649600000.

The previous prime is 311521319999. The next prime is 311521320001. The reversal of 311521320000 is 23125113.

It is an interprime number because it is at equal distance from previous prime (311521319999) and next prime (311521320001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311521320001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 384119595 + ... + 384120405.

Almost surely, 2^311521320000 is an apocalyptic number.

311521320000 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 311521320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615646567536).

311521320000 is an abundant number, since it is smaller than the sum of its proper divisors (919771815072).

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

311521320000 is a wasteful number, since it uses less digits than its factorization.

311521320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 311521320000 its reverse (23125113), we get a palindrome (311544445113).

The spelling of 311521320000 in words is "three hundred eleven billion, five hundred twenty-one million, three hundred twenty thousand".