106013248313 has 8 divisors (see below), whose sum is σ = 121323294528. Its totient is φ = 90744526224.

The previous prime is 106013248267. The next prime is 106013248333. The reversal of 106013248313 is 313842310601.

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 106013248313 - 2¹⁰ = 106013247289 is a prime.

It is a super-2 number, since 2×106013248313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106013248313.

It is not an unprimeable number, because it can be changed into a prime (106013248333) 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, 10325531 + ... + 10335792.

It is an arithmetic number, because the mean of its divisors is an integer number (15165411816).

Almost surely, 2^106013248313 is an apocalyptic number.

It is an amenable number.

106013248313 is a deficient number, since it is larger than the sum of its proper divisors (15310046215).

106013248313 is an equidigital number, since it uses as much as digits as its factorization.

106013248313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20662063.

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 106013248313 its reverse (313842310601), we get a palindrome (419855558914).

The spelling of 106013248313 in words is "one hundred six billion, thirteen million, two hundred forty-eight thousand, three hundred thirteen".