201330311220 has 36 divisors (see below), whose sum is σ = 610701944580. Its totient is φ = 53688082944.

The previous prime is 201330311213. The next prime is 201330311227. The reversal of 201330311220 is 22113033102.

201330311220 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 311 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (201330311213) and next prime (201330311227).

It can be written as a sum of positive squares in 2 ways, for example, as 39151745424 + 162178565796 = 197868^2 + 402714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 201330311193 and 201330311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330311227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559250685 + ... + 559251044.

It is an arithmetic number, because the mean of its divisors is an integer number (16963942905).

Almost surely, 2^201330311220 is an apocalyptic number.

201330311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330311220 is an abundant number, since it is smaller than the sum of its proper divisors (409371633360).

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

201330311220 is a wasteful number, since it uses less digits than its factorization.

201330311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118501744 (or 1118501739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201330311220 its reverse (22113033102), we get a palindrome (223443344322).

The spelling of 201330311220 in words is "two hundred one billion, three hundred thirty million, three hundred eleven thousand, two hundred twenty".