201031420320 has 384 divisors, whose sum is σ = 718560460800. Its totient is φ = 52479415296.

The previous prime is 201031420319. The next prime is 201031420409. The reversal of 201031420320 is 23024130102.

201031420320 is a `hidden beast` number, since 2 + 0 + 10 + 314 + 20 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201031420293 and 201031420302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48334401 + ... + 48338559.

It is an arithmetic number, because the mean of its divisors is an integer number (1871251200).

Almost surely, 2^201031420320 is an apocalyptic number.

201031420320 is a gapful number since it is divisible by the number (20) 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 201031420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359280230400).

201031420320 is an abundant number, since it is smaller than the sum of its proper divisors (517529040480).

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

201031420320 is a wasteful number, since it uses less digits than its factorization.

201031420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201031420320 its reverse (23024130102), we get a palindrome (224055550422).

The spelling of 201031420320 in words is "two hundred one billion, thirty-one million, four hundred twenty thousand, three hundred twenty".