201130011000 has 192 divisors, whose sum is σ = 680154209280. Its totient is φ = 53608262400.

The previous prime is 201130010987. The next prime is 201130011013. The reversal of 201130011000 is 110031102.

It is an interprime number because it is at equal distance from previous prime (201130010987) and next prime (201130011013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24178842 + ... + 24187158.

It is an arithmetic number, because the mean of its divisors is an integer number (3542469840).

Almost surely, 2^201130011000 is an apocalyptic number.

201130011000 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 201130011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340077104640).

201130011000 is an abundant number, since it is smaller than the sum of its proper divisors (479024198280).

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

201130011000 is a wasteful number, since it uses less digits than its factorization.

201130011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11031 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 201130011000 its reverse (110031102), we get a palindrome (201240042102).

The spelling of 201130011000 in words is "two hundred one billion, one hundred thirty million, eleven thousand".