100013022322431 has 32 divisors (see below), whose sum is σ = 147746987679168. Its totient is φ = 59905211258880.

The previous prime is 100013022322393. The next prime is 100013022322457. The reversal of 100013022322431 is 134223220310001.

It is not a de Polignac number, because 100013022322431 - 2⁷ = 100013022322303 is a prime.

It is a super-2 number, since 2×100013022322431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013022329431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499910100 + ... + 500110121.

It is an arithmetic number, because the mean of its divisors is an integer number (4617093364974).

Almost surely, 2^{100013022322431} is an apocalyptic number.

100013022322431 is a deficient number, since it is larger than the sum of its proper divisors (47733965356737).

100013022322431 is a wasteful number, since it uses less digits than its factorization.

100013022322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000020331.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100013022322431 its reverse (134223220310001), we get a palindrome (234236242632432).

The spelling of 100013022322431 in words is "one hundred trillion, thirteen billion, twenty-two million, three hundred twenty-two thousand, four hundred thirty-one".