201031230030120 has 2304 divisors, whose sum is σ = 842013942569280. Its totient is φ = 41302130688000.

The previous prime is 201031230030097. The next prime is 201031230030131. The reversal of 201031230030120 is 21030032130102.

201031230030120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 312 + 30 + 0 + 301 + 20 = 666.

201031230030120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 7189487667684 + 193841742362436 = 2681322^2 + 13922706^2 .

It is a super-3 number, since 3×201031230030120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 201031230030093 and 201031230030102.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 97920715014 + ... + 97920717066.

Almost surely, 2^{201031230030120} is an apocalyptic number.

201031230030120 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 201031230030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421006971284640).

201031230030120 is an abundant number, since it is smaller than the sum of its proper divisors (640982712539160).

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

201031230030120 is a wasteful number, since it uses less digits than its factorization.

201031230030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2302 counting only the distinct ones).

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

Adding to 201031230030120 its reverse (21030032130102), we get a palindrome (222061262160222).

The spelling of 201031230030120 in words is "two hundred one trillion, thirty-one billion, two hundred thirty million, thirty thousand, one hundred twenty".