106205324061313 has 8 divisors (see below), whose sum is σ = 108795834259560. Its totient is φ = 103614820360320.

The previous prime is 106205324061301. The next prime is 106205324061359. The reversal of 106205324061313 is 313160423502601.

It can be written as a sum of positive squares in 4 ways, for example, as 1279043378704 + 104926280682609 = 1130948^2 + 10243353^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106205324061313 - 2⁴¹ = 104006300805761 is a prime.

It is a super-2 number, since 2×106205324061313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106205324067313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56696031 + ... + 58539307.

It is an arithmetic number, because the mean of its divisors is an integer number (13599479282445).

Almost surely, 2^{106205324061313} is an apocalyptic number.

It is an amenable number.

106205324061313 is a deficient number, since it is larger than the sum of its proper divisors (2590510198247).

106205324061313 is a wasteful number, since it uses less digits than its factorization.

106205324061313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248627.

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 106205324061313 its reverse (313160423502601), we get a palindrome (419365747563914).

The spelling of 106205324061313 in words is "one hundred six trillion, two hundred five billion, three hundred twenty-four million, sixty-one thousand, three hundred thirteen".