100314141112133 has 16 divisors (see below), whose sum is σ = 108349273695936. Its totient is φ = 92324567543040.

The previous prime is 100314141112127. The next prime is 100314141112189. The reversal of 100314141112133 is 331211141413001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100314141112133 - 2²² = 100314136917829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314141112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66572573 + ... + 68062733.

It is an arithmetic number, because the mean of its divisors is an integer number (6771829605996).

Almost surely, 2^{100314141112133} is an apocalyptic number.

100314141112133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100314141112133 is a deficient number, since it is larger than the sum of its proper divisors (8035132583803).

100314141112133 is a wasteful number, since it uses less digits than its factorization.

100314141112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505444.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 100314141112133 its reverse (331211141413001), we get a palindrome (431525282525134).

The spelling of 100314141112133 in words is "one hundred trillion, three hundred fourteen billion, one hundred forty-one million, one hundred twelve thousand, one hundred thirty-three".