105131030400031 has 16 divisors (see below), whose sum is σ = 105737287198720. Its totient is φ = 104525421027840.

The previous prime is 105131030399987. The next prime is 105131030400043. The reversal of 105131030400031 is 130004030131501.

It is a cyclic number.

It is not a de Polignac number, because 105131030400031 - 2¹⁷ = 105131030268959 is a prime.

It is a super-2 number, since 2×105131030400031² (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 = 105131030399975 and 105131030400011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105131030400131) 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 15 ways as a sum of consecutive naturals, for example, 5850028876 + ... + 5850046846.

It is an arithmetic number, because the mean of its divisors is an integer number (6608580449920).

Almost surely, 2^{105131030400031} is an apocalyptic number.

105131030400031 is a deficient number, since it is larger than the sum of its proper divisors (606256798689).

105131030400031 is a wasteful number, since it uses less digits than its factorization.

105131030400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34126.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 105131030400031 its reverse (130004030131501), we get a palindrome (235135060531532).

The spelling of 105131030400031 in words is "one hundred five trillion, one hundred thirty-one billion, thirty million, four hundred thousand, thirty-one".