201103133004540 has 288 divisors, whose sum is σ = 679617751176000. Its totient is φ = 47793374576640.

The previous prime is 201103133004523. The next prime is 201103133004593. The reversal of 201103133004540 is 45400331301102.

It is a happy number.

201103133004540 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 313 + 300 + 4 + 5 + 40 = 666.

It is a super-3 number, since 3×201103133004540³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2294370636 + ... + 2294458284.

It is an arithmetic number, because the mean of its divisors is an integer number (2359783858250).

Almost surely, 2^{201103133004540} is an apocalyptic number.

201103133004540 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 201103133004540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339808875588000).

201103133004540 is an abundant number, since it is smaller than the sum of its proper divisors (478514618171460).

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

201103133004540 is a wasteful number, since it uses less digits than its factorization.

201103133004540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121517 (or 121512 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 201103133004540 its reverse (45400331301102), we get a palindrome (246503464305642).

The spelling of 201103133004540 in words is "two hundred one trillion, one hundred three billion, one hundred thirty-three million, four thousand, five hundred forty".