100130322321131 has 16 divisors (see below), whose sum is σ = 100779006715200. Its totient is φ = 99483100069248.

The previous prime is 100130322320947. The next prime is 100130322321151. The reversal of 100130322321131 is 131123223031001.

It is a cyclic number.

It is not a de Polignac number, because 100130322321131 - 2³⁰ = 100129248579307 is a prime.

It is a super-2 number, since 2×100130322321131² (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 = 100130322321097 and 100130322321106.

It is not an unprimeable number, because it can be changed into a prime (100130322321151) 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 15 ways as a sum of consecutive naturals, for example, 951494225 + ... + 951599453.

It is an arithmetic number, because the mean of its divisors is an integer number (6298687919700).

Almost surely, 2^{100130322321131} is an apocalyptic number.

100130322321131 is a deficient number, since it is larger than the sum of its proper divisors (648684394069).

100130322321131 is a wasteful number, since it uses less digits than its factorization.

100130322321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112118.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100130322321131 its reverse (131123223031001), we get a palindrome (231253545352132).

The spelling of 100130322321131 in words is "one hundred trillion, one hundred thirty billion, three hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-one".