100312141213001 has 16 divisors (see below), whose sum is σ = 103157936313600. Its totient is φ = 97485493507200.

The previous prime is 100312141212971. The next prime is 100312141213013.

100312141213001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100312141213001 - 2²² = 100312137018697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100312140213001) 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, 56672255 + ... + 58415483.

It is an arithmetic number, because the mean of its divisors is an integer number (6447371019600).

Almost surely, 2^{100312141213001} is an apocalyptic number.

It is an amenable number.

100312141213001 is a deficient number, since it is larger than the sum of its proper divisors (2845795100599).

100312141213001 is a wasteful number, since it uses less digits than its factorization.

100312141213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748720.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100312141213001 in words is "one hundred trillion, three hundred twelve billion, one hundred forty-one million, two hundred thirteen thousand, one".