11101322131300 has 72 divisors (see below), whose sum is σ = 25514299230336. Its totient is φ = 4178112207360.

The previous prime is 11101322131279. The next prime is 11101322131307. The reversal of 11101322131300 is 313122310111.

11101322131300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11101322131300³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101322131307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4944249 + ... + 6829951.

It is an arithmetic number, because the mean of its divisors is an integer number (354365267088).

Almost surely, 2^{11101322131300} is an apocalyptic number.

11101322131300 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 11101322131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757149615168).

11101322131300 is an abundant number, since it is smaller than the sum of its proper divisors (14412977099036).

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

11101322131300 is a wasteful number, since it uses less digits than its factorization.

11101322131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889197 (or 1889190 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11101322131300 its reverse (313122310111), we get a palindrome (11414444441411).

The spelling of 11101322131300 in words is "eleven trillion, one hundred one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred".