100011133011314 has 16 divisors (see below), whose sum is σ = 171448393212096. Its totient is φ = 42861729992400.

The previous prime is 100011133011301. The next prime is 100011133011323. The reversal of 100011133011314 is 413110331110001.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11945432 + ... + 18512579.

It is an arithmetic number, because the mean of its divisors is an integer number (10715524575756).

Almost surely, 2^{100011133011314} is an apocalyptic number.

100011133011314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100011133011314 is a deficient number, since it is larger than the sum of its proper divisors (71437260200782).

100011133011314 is a wasteful number, since it uses less digits than its factorization.

100011133011314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30692561.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100011133011314 its reverse (413110331110001), we get a palindrome (513121464121315).

The spelling of 100011133011314 in words is "one hundred trillion, eleven billion, one hundred thirty-three million, eleven thousand, three hundred fourteen".