201302131100240 has 80 divisors (see below), whose sum is σ = 484264508547600. Its totient is φ = 77728506863616.

The previous prime is 201302131100183. The next prime is 201302131100243. The reversal of 201302131100240 is 42001131203102.

It can be written as a sum of positive squares in 8 ways, for example, as 2106075664 + 201300025024576 = 45892^2 + 14188024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201302131100243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649896 + ... + 20239224.

It is an arithmetic number, because the mean of its divisors is an integer number (6053306356845).

Almost surely, 2^{201302131100240} is an apocalyptic number.

201302131100240 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 201302131100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242132254273800).

201302131100240 is an abundant number, since it is smaller than the sum of its proper divisors (282962377447360).

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

201302131100240 is a wasteful number, since it uses less digits than its factorization.

201302131100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17594304 (or 17594298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201302131100240 its reverse (42001131203102), we get a palindrome (243303262303342).

The spelling of 201302131100240 in words is "two hundred one trillion, three hundred two billion, one hundred thirty-one million, one hundred thousand, two hundred forty".