11013112313100 has 108 divisors (see below), whose sum is σ = 34842605727384. Its totient is φ = 2909382915840.

The previous prime is 11013112313053. The next prime is 11013112313113. The reversal of 11013112313100 is 131321131011.

11013112313100 is a `hidden beast` number, since 1 + 10 + 1 + 311 + 2 + 31 + 310 + 0 = 666.

It is a super-2 number, since 2×11013112313100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57084969 + ... + 57277568.

It is an arithmetic number, because the mean of its divisors is an integer number (322616719698).

Almost surely, 2^{11013112313100} is an apocalyptic number.

11013112313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11013112313100 is an abundant number, since it is smaller than the sum of its proper divisors (23829493414284).

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

11013112313100 is a wasteful number, since it uses less digits than its factorization.

11013112313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114362664 (or 114362654 counting only the distinct ones).

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

Adding to 11013112313100 its reverse (131321131011), we get a palindrome (11144433444111).

The spelling of 11013112313100 in words is "eleven trillion, thirteen billion, one hundred twelve million, three hundred thirteen thousand, one hundred".