105404513131 has 2 divisors, whose sum is σ = 105404513132. Its totient is φ = 105404513130.

The previous prime is 105404513117. The next prime is 105404513209. The reversal of 105404513131 is 131315404501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105404513131 - 2¹⁷ = 105404382059 is a prime.

It is a super-2 number, since 2×105404513131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105404513131.

It is not a weakly prime, because it can be changed into another prime (105404513101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702256565 + 52702256566.

It is an arithmetic number, because the mean of its divisors is an integer number (52702256566).

Almost surely, 2^105404513131 is an apocalyptic number.

105404513131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105404513131 is an equidigital number, since it uses as much as digits as its factorization.

105404513131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 105404513131 its reverse (131315404501), we get a palindrome (236719917632).

The spelling of 105404513131 in words is "one hundred five billion, four hundred four million, five hundred thirteen thousand, one hundred thirty-one".