105413523331 has 2 divisors, whose sum is σ = 105413523332. Its totient is φ = 105413523330.

The previous prime is 105413523283. The next prime is 105413523337. The reversal of 105413523331 is 133325314501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105413523331 - 2²¹ = 105411426179 is a prime.

It is a super-2 number, since 2×105413523331² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105413523293 and 105413523302.

It is not a weakly prime, because it can be changed into another prime (105413523337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706761665 + 52706761666.

It is an arithmetic number, because the mean of its divisors is an integer number (52706761666).

Almost surely, 2^105413523331 is an apocalyptic number.

105413523331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413523331 is an equidigital number, since it uses as much as digits as its factorization.

105413523331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 105413523331 its reverse (133325314501), we get a palindrome (238738837832).

The spelling of 105413523331 in words is "one hundred five billion, four hundred thirteen million, five hundred twenty-three thousand, three hundred thirty-one".