32311201320420 has 192 divisors, whose sum is σ = 104065780008960. Its totient is φ = 7408238745600.

The previous prime is 32311201320389. The next prime is 32311201320421. The reversal of 32311201320420 is 2402310211323.

It is a super-2 number, since 2×32311201320420² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32311201320421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5263665 + ... + 9608775.

It is an arithmetic number, because the mean of its divisors is an integer number (542009270880).

Almost surely, 2^{32311201320420} is an apocalyptic number.

32311201320420 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 32311201320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52032890004480).

32311201320420 is an abundant number, since it is smaller than the sum of its proper divisors (71754578688540).

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

32311201320420 is a wasteful number, since it uses less digits than its factorization.

32311201320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345746 (or 4345744 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32311201320420 its reverse (2402310211323), we get a palindrome (34713511531743).

The spelling of 32311201320420 in words is "thirty-two trillion, three hundred eleven billion, two hundred one million, three hundred twenty thousand, four hundred twenty".