11331300201300 has 108 divisors (see below), whose sum is σ = 36742066599420. Its totient is φ = 2917484183040.

The previous prime is 11331300201283. The next prime is 11331300201307. The reversal of 11331300201300 is 310200313311.

It is a happy number.

11331300201300 is a `hidden beast` number, since 1 + 1 + 33 + 130 + 0 + 201 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2377967548356 + 8953332652944 = 1542066^2 + 2992212^2 .

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 (11331300201307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217048617 + ... + 217100816.

It is an arithmetic number, because the mean of its divisors is an integer number (340204320365).

Almost surely, 2^{11331300201300} is an apocalyptic number.

11331300201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331300201300 is an abundant number, since it is smaller than the sum of its proper divisors (25410766398120).

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

11331300201300 is a wasteful number, since it uses less digits than its factorization.

11331300201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434149482 (or 434149472 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11331300201300 its reverse (310200313311), we get a palindrome (11641500514611).

The spelling of 11331300201300 in words is "eleven trillion, three hundred thirty-one billion, three hundred million, two hundred one thousand, three hundred".