11301200132000 has 96 divisors (see below), whose sum is σ = 27768792948624. Its totient is φ = 4520196096000.

The previous prime is 11301200131979. The next prime is 11301200132009. The reversal of 11301200132000 is 23100210311.

It can be written as a sum of positive squares in 8 ways, for example, as 969681356176 + 10331518775824 = 984724^2 + 3214268^2 .

It is not an unprimeable number, because it can be changed into a prime (11301200132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70644104 + ... + 70803896.

Almost surely, 2^{11301200132000} is an apocalyptic number.

11301200132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301200132000 is an abundant number, since it is smaller than the sum of its proper divisors (16467592816624).

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

11301200132000 is a wasteful number, since it uses less digits than its factorization.

11301200132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177499 (or 177481 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11301200132000 its reverse (23100210311), we get a palindrome (11324300342311).

The spelling of 11301200132000 in words is "eleven trillion, three hundred one billion, two hundred million, one hundred thirty-two thousand".