101340314344000 has 112 divisors (see below), whose sum is σ = 257090491462896. Its totient is φ = 39547439616000.

The previous prime is 101340314343977. The next prime is 101340314344007. The reversal of 101340314344000 is 443413043101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33165435995136 + 68174878348864 = 5758944^2 + 8256808^2 .

It is a super-2 number, since 2×101340314344000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101340314344000.

It is not an unprimeable number, because it can be changed into a prime (101340314344007) 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, 154154187 + ... + 154810186.

It is an arithmetic number, because the mean of its divisors is an integer number (2295450816633).

Almost surely, 2^{101340314344000} is an apocalyptic number.

101340314344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101340314344000 is an abundant number, since it is smaller than the sum of its proper divisors (155750177118896).

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

101340314344000 is an equidigital number, since it uses as much as digits as its factorization.

101340314344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308964441 (or 308964421 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 101340314344000 its reverse (443413043101), we get a palindrome (101783727387101).

The spelling of 101340314344000 in words is "one hundred one trillion, three hundred forty billion, three hundred fourteen million, three hundred forty-four thousand".