11100400311114 has 96 divisors (see below), whose sum is σ = 24228731404800. Its totient is φ = 3672869308416.

The previous prime is 11100400311113. The next prime is 11100400311157. The reversal of 11100400311114 is 41111300400111.

It is a super-3 number, since 3×11100400311114³ (a number of 40 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11100400311113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4032109162 + ... + 4032111914.

It is an arithmetic number, because the mean of its divisors is an integer number (252382618800).

Almost surely, 2^{11100400311114} is an apocalyptic number.

11100400311114 is an abundant number, since it is smaller than the sum of its proper divisors (13128331093686).

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

11100400311114 is a wasteful number, since it uses less digits than its factorization.

11100400311114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11100400311114 its reverse (41111300400111), we get a palindrome (52211700711225).

The spelling of 11100400311114 in words is "eleven trillion, one hundred billion, four hundred million, three hundred eleven thousand, one hundred fourteen".