11301133132100 has 36 divisors (see below), whose sum is σ = 28026810169344. Its totient is φ = 3874674216480.

The previous prime is 11301133132087. The next prime is 11301133132109. The reversal of 11301133132100 is 123133110311.

It is a super-3 number, since 3×11301133132100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (11301133132109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8072237252 + ... + 8072238651.

It is an arithmetic number, because the mean of its divisors is an integer number (778522504704).

Almost surely, 2^{11301133132100} is an apocalyptic number.

11301133132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301133132100 is an abundant number, since it is smaller than the sum of its proper divisors (16725677037244).

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

11301133132100 is a wasteful number, since it uses less digits than its factorization.

11301133132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16144475924 (or 16144475917 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11301133132100 its reverse (123133110311), we get a palindrome (11424266242411).

The spelling of 11301133132100 in words is "eleven trillion, three hundred one billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred".