11314351042100 has 72 divisors (see below), whose sum is σ = 26168547480768. Its totient is φ = 4231311552000.

The previous prime is 11314351042073. The next prime is 11314351042123. The reversal of 11314351042100 is 124015341311.

It is a self number, because there is not a number n which added to its sum of digits gives 11314351042100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21781382 + ... + 22294781.

It is an arithmetic number, because the mean of its divisors is an integer number (363452048344).

Almost surely, 2^{11314351042100} is an apocalyptic number.

11314351042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314351042100 is an abundant number, since it is smaller than the sum of its proper divisors (14854196438668).

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

11314351042100 is a wasteful number, since it uses less digits than its factorization.

11314351042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44076345 (or 44076338 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 11314351042100 its reverse (124015341311), we get a palindrome (11438366383411).

The spelling of 11314351042100 in words is "eleven trillion, three hundred fourteen billion, three hundred fifty-one million, forty-two thousand, one hundred".