100100321013031 has 8 divisors (see below), whose sum is σ = 100237819014320. Its totient is φ = 99962877615552.

The previous prime is 100100321012981. The next prime is 100100321013071. The reversal of 100100321013031 is 130310123001001.

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

It is a cyclic number.

It is not a de Polignac number, because 100100321013031 - 2⁷ = 100100321012903 is a prime.

It is a super-2 number, since 2×100100321013031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100321012996 and 100100321013014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100321013071) 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, 9981336 + ... + 17315533.

It is an arithmetic number, because the mean of its divisors is an integer number (12529727376790).

Almost surely, 2^{100100321013031} is an apocalyptic number.

100100321013031 is a deficient number, since it is larger than the sum of its proper divisors (137498001289).

100100321013031 is an equidigital number, since it uses as much as digits as its factorization.

100100321013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27301905.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100100321013031 its reverse (130310123001001), we get a palindrome (230410444014032).

The spelling of 100100321013031 in words is "one hundred trillion, one hundred billion, three hundred twenty-one million, thirteen thousand, thirty-one".