201130220333120 has 448 divisors, whose sum is σ = 547396223463936. Its totient is φ = 69732325785600.

The previous prime is 201130220333099. The next prime is 201130220333197. The reversal of 201130220333120 is 21333022031102.

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, 78843675845 + ... + 78843678395.

It is an arithmetic number, because the mean of its divisors is an integer number (1221866570232).

Almost surely, 2^{201130220333120} is an apocalyptic number.

201130220333120 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 201130220333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273698111731968).

201130220333120 is an abundant number, since it is smaller than the sum of its proper divisors (346266003130816).

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

201130220333120 is a wasteful number, since it uses less digits than its factorization.

201130220333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 201130220333120 its reverse (21333022031102), we get a palindrome (222463242364222).

The spelling of 201130220333120 in words is "two hundred one trillion, one hundred thirty billion, two hundred twenty million, three hundred thirty-three thousand, one hundred twenty".