105313831413 has 16 divisors (see below), whose sum is σ = 160994236416. Its totient is φ = 59985825840.

The previous prime is 105313831393. The next prime is 105313831421. The reversal of 105313831413 is 314138313501.

It is not a de Polignac number, because 105313831413 - 2¹⁰ = 105313830389 is a prime.

It is a super-2 number, since 2×105313831413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313831463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8056081 + ... + 8069142.

It is an arithmetic number, because the mean of its divisors is an integer number (10062139776).

Almost surely, 2^105313831413 is an apocalyptic number.

It is an amenable number.

105313831413 is a deficient number, since it is larger than the sum of its proper divisors (55680405003).

105313831413 is a wasteful number, since it uses less digits than its factorization.

105313831413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125544.

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 105313831413 in words is "one hundred five billion, three hundred thirteen million, eight hundred thirty-one thousand, four hundred thirteen".