201134131110 has 192 divisors, whose sum is σ = 579649913856. Its totient is φ = 47979993600.

The previous prime is 201134131091. The next prime is 201134131117. The reversal of 201134131110 is 11131431102.

It is a happy number.

201134131110 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 341 + 311 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201134131117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33458005 + ... + 33464015.

It is an arithmetic number, because the mean of its divisors is an integer number (3019009968).

Almost surely, 2^201134131110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289824956928).

201134131110 is an abundant number, since it is smaller than the sum of its proper divisors (378515782746).

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

201134131110 is a wasteful number, since it uses less digits than its factorization.

201134131110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201134131110 its reverse (11131431102), we get a palindrome (212265562212).

The spelling of 201134131110 in words is "two hundred one billion, one hundred thirty-four million, one hundred thirty-one thousand, one hundred ten".