105313230401 has 2 divisors, whose sum is σ = 105313230402. Its totient is φ = 105313230400.

The previous prime is 105313230389. The next prime is 105313230409. The reversal of 105313230401 is 104032313501.

It is a Cunningham number, because it is equal to 324520²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105313230400 + 1 = 324520^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 105313230401 - 2²² = 105309036097 is a prime.

It is a super-2 number, since 2×105313230401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105313230409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52656615200 + 52656615201.

It is an arithmetic number, because the mean of its divisors is an integer number (52656615201).

Almost surely, 2^105313230401 is an apocalyptic number.

It is an amenable number.

105313230401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313230401 is an equidigital number, since it uses as much as digits as its factorization.

105313230401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 105313230401 its reverse (104032313501), we get a palindrome (209345543902).

The spelling of 105313230401 in words is "one hundred five billion, three hundred thirteen million, two hundred thirty thousand, four hundred one".