100123000322131 has 8 divisors (see below), whose sum is σ = 106012717544160. Its totient is φ = 94233297429888.

The previous prime is 100123000322113. The next prime is 100123000322209. The reversal of 100123000322131 is 131223000321001.

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 100123000322131 - 2²⁵ = 100122966767699 is a prime.

It is a super-2 number, since 2×100123000322131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100123000322099 and 100123000322108.

It is not an unprimeable number, because it can be changed into a prime (100123000322431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12994245 + ... + 19211881.

It is an arithmetic number, because the mean of its divisors is an integer number (13251589693020).

Almost surely, 2^{100123000322131} is an apocalyptic number.

100123000322131 is a deficient number, since it is larger than the sum of its proper divisors (5889717222029).

100123000322131 is an equidigital number, since it uses as much as digits as its factorization.

100123000322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164893.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100123000322131 its reverse (131223000321001), we get a palindrome (231346000643132).

The spelling of 100123000322131 in words is "one hundred trillion, one hundred twenty-three billion, three hundred twenty-two thousand, one hundred thirty-one".