101444313114320 has 40 divisors (see below), whose sum is σ = 257299666901280. Its totient is φ = 36888841132160.

The previous prime is 101444313114317. The next prime is 101444313114343. The reversal of 101444313114320 is 23411313444101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57638813390 + ... + 57638815149.

It is an arithmetic number, because the mean of its divisors is an integer number (6432491672532).

Almost surely, 2^{101444313114320} is an apocalyptic number.

101444313114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101444313114320 is an abundant number, since it is smaller than the sum of its proper divisors (155855353786960).

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

101444313114320 is a wasteful number, since it uses less digits than its factorization.

101444313114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115277628563 (or 115277628557 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 101444313114320 its reverse (23411313444101), we get a palindrome (124855626558421).

The spelling of 101444313114320 in words is "one hundred one trillion, four hundred forty-four billion, three hundred thirteen million, one hundred fourteen thousand, three hundred twenty".