105313531314 has 16 divisors (see below), whose sum is σ = 211427929152. Its totient is φ = 34971032688.

The previous prime is 105313531237. The next prime is 105313531321. The reversal of 105313531314 is 413135313501.

105313531314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105313531314² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33367729 + ... + 33370884.

It is an arithmetic number, because the mean of its divisors is an integer number (13214245572).

Almost surely, 2^105313531314 is an apocalyptic number.

105313531314 is an abundant number, since it is smaller than the sum of its proper divisors (106114397838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105313531314 is a wasteful number, since it uses less digits than its factorization.

105313531314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66738881.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 105313531314 its reverse (413135313501), we get a palindrome (518448844815).

The spelling of 105313531314 in words is "one hundred five billion, three hundred thirteen million, five hundred thirty-one thousand, three hundred fourteen".