201332213120 has 128 divisors (see below), whose sum is σ = 526062470400. Its totient is φ = 73350512640.

The previous prime is 201332213101. The next prime is 201332213153. The reversal of 201332213120 is 21312233102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201332213092 and 201332213101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38816 + ... + 635744.

It is an arithmetic number, because the mean of its divisors is an integer number (4109863050).

Almost surely, 2^201332213120 is an apocalyptic number.

201332213120 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 201332213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263031235200).

201332213120 is an abundant number, since it is smaller than the sum of its proper divisors (324730257280).

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

201332213120 is a wasteful number, since it uses less digits than its factorization.

201332213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596996 (or 596984 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201332213120 its reverse (21312233102), we get a palindrome (222644446222).

The spelling of 201332213120 in words is "two hundred one billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".