11132202301300 has 144 divisors (see below), whose sum is σ = 24799559726592. Its totient is φ = 4334897382400.

The previous prime is 11132202301291. The next prime is 11132202301309. The reversal of 11132202301300 is 310320223111.

It is an interprime number because it is at equal distance from previous prime (11132202301291) and next prime (11132202301309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132202301309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7456263354 + ... + 7456264846.

It is an arithmetic number, because the mean of its divisors is an integer number (172219164768).

Almost surely, 2^{11132202301300} is an apocalyptic number.

11132202301300 is a gapful number since it is divisible by the number (10) 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 11132202301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399779863296).

11132202301300 is an abundant number, since it is smaller than the sum of its proper divisors (13667357425292).

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

11132202301300 is a wasteful number, since it uses less digits than its factorization.

11132202301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11132202301300 its reverse (310320223111), we get a palindrome (11442522524411).

The spelling of 11132202301300 in words is "eleven trillion, one hundred thirty-two billion, two hundred two million, three hundred one thousand, three hundred".