105201543313 has 2 divisors, whose sum is σ = 105201543314. Its totient is φ = 105201543312.

The previous prime is 105201543277. The next prime is 105201543319. The reversal of 105201543313 is 313345102501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70951378689 + 34250164624 = 266367^2 + 185068^2 .

It is a cyclic number.

It is not a de Polignac number, because 105201543313 - 2²⁹ = 104664672401 is a prime.

It is a super-2 number, since 2×105201543313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105201543319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600771656 + 52600771657.

It is an arithmetic number, because the mean of its divisors is an integer number (52600771657).

Almost surely, 2^105201543313 is an apocalyptic number.

It is an amenable number.

105201543313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105201543313 is an equidigital number, since it uses as much as digits as its factorization.

105201543313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 105201543313 its reverse (313345102501), we get a palindrome (418546645814).

The spelling of 105201543313 in words is "one hundred five billion, two hundred one million, five hundred forty-three thousand, three hundred thirteen".