11313120122100 has 108 divisors (see below), whose sum is σ = 36418734366924. Its totient is φ = 2935296023040.

The previous prime is 11313120122041. The next prime is 11313120122107. The reversal of 11313120122100 is 122102131311.

11313120122100 is a `hidden beast` number, since 1 + 131 + 312 + 0 + 1 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 921703682916 + 10391416439184 = 960054^2 + 3223572^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313120122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169833369 + ... + 169899968.

Almost surely, 2^{11313120122100} is an apocalyptic number.

11313120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313120122100 is an abundant number, since it is smaller than the sum of its proper divisors (25105614244824).

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

11313120122100 is a wasteful number, since it uses less digits than its factorization.

11313120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339733394 (or 339733384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11313120122100 its reverse (122102131311), we get a palindrome (11435222253411).

The spelling of 11313120122100 in words is "eleven trillion, three hundred thirteen billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".