11301123131100 has 864 divisors, whose sum is σ = 40077147190080. Its totient is φ = 2639609856000.

The previous prime is 11301123131071. The next prime is 11301123131131. The reversal of 11301123131100 is 113132110311.

11301123131100 is a `hidden beast` number, since 1 + 1 + 301 + 1 + 231 + 31 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27631107696 + ... + 27631108104.

Almost surely, 2^{11301123131100} is an apocalyptic number.

11301123131100 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 11301123131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038573595040).

11301123131100 is an abundant number, since it is smaller than the sum of its proper divisors (28776024058980).

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

11301123131100 is a wasteful number, since it uses less digits than its factorization.

11301123131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11301123131100 its reverse (113132110311), we get a palindrome (11414255241411).

The spelling of 11301123131100 in words is "eleven trillion, three hundred one billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred".