201135000000 has 896 divisors, whose sum is σ = 771523024896. Its totient is φ = 45760000000.

The previous prime is 201134999983. The next prime is 201135000007. The reversal of 201135000000 is 531102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 201135000000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13250 × 1150 × 13200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201135000007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3794999974 + ... + 3795000026.

Almost surely, 2^201135000000 is an apocalyptic number.

201135000000 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 201135000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385761512448).

201135000000 is an abundant number, since it is smaller than the sum of its proper divisors (570388024896).

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

201135000000 is an frugal number, since it uses more digits than its factorization.

201135000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 201135000000 its reverse (531102), we get a palindrome (201135531102).

The spelling of 201135000000 in words is "two hundred one billion, one hundred thirty-five million", and thus it is an aban number.