11132102303300 has 288 divisors, whose sum is σ = 28096075736064. Its totient is φ = 3790844928000.

The previous prime is 11132102303299. The next prime is 11132102303323. The reversal of 11132102303300 is 330320123111.

It is a super-2 number, since 2×11132102303300² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131890712 + ... + 131975088.

It is an arithmetic number, because the mean of its divisors is an integer number (97555818528).

Almost surely, 2^{11132102303300} is an apocalyptic number.

11132102303300 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 11132102303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048037868032).

11132102303300 is an abundant number, since it is smaller than the sum of its proper divisors (16963973432764).

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

11132102303300 is a wasteful number, since it uses less digits than its factorization.

11132102303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84559 (or 84552 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11132102303300 its reverse (330320123111), we get a palindrome (11462422426411).

The spelling of 11132102303300 in words is "eleven trillion, one hundred thirty-two billion, one hundred two million, three hundred three thousand, three hundred".