100013433401441 has 8 divisors (see below), whose sum is σ = 114881275206720. Its totient is φ = 85290643711728.

The previous prime is 100013433401389. The next prime is 100013433401467. The reversal of 100013433401441 is 144104334310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100013433401441 - 2²² = 100013429207137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013433601441) by changing a digit.

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, 36263027411 + ... + 36263030168.

It is an arithmetic number, because the mean of its divisors is an integer number (14360159400840).

Almost surely, 2^{100013433401441} is an apocalyptic number.

It is an amenable number.

100013433401441 is a deficient number, since it is larger than the sum of its proper divisors (14867841805279).

100013433401441 is an equidigital number, since it uses as much as digits as its factorization.

100013433401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72526057783.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 100013433401441 its reverse (144104334310001), we get a palindrome (244117767711442).

The spelling of 100013433401441 in words is "one hundred trillion, thirteen billion, four hundred thirty-three million, four hundred one thousand, four hundred forty-one".