201324001320 has 288 divisors, whose sum is σ = 717491174400. Its totient is φ = 48928209408.

The previous prime is 201324001271. The next prime is 201324001343. The reversal of 201324001320 is 23100423102.

201324001320 is a `hidden beast` number, since 2 + 0 + 132 + 400 + 132 + 0 = 666.

It is a super-4 number, since 4×201324001320⁴ (a number of 46 digits) contains 4444 as substring.

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 = 201324001293 and 201324001302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4785417 + ... + 4827303.

It is an arithmetic number, because the mean of its divisors is an integer number (2491288800).

Almost surely, 2^201324001320 is an apocalyptic number.

201324001320 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 201324001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358745587200).

201324001320 is an abundant number, since it is smaller than the sum of its proper divisors (516167173080).

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

201324001320 is a wasteful number, since it uses less digits than its factorization.

201324001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42009 (or 41989 counting only the distinct ones).

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

Adding to 201324001320 its reverse (23100423102), we get a palindrome (224424424422).

The spelling of 201324001320 in words is "two hundred one billion, three hundred twenty-four million, one thousand, three hundred twenty".