10344101433121 has 8 divisors (see below), whose sum is σ = 10679183468288. Its totient is φ = 10009106982000.

The previous prime is 10344101433119. The next prime is 10344101433163. The reversal of 10344101433121 is 12133410144301.

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 10344101433121 - 2¹ = 10344101433119 is a prime.

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 10344101433121.

It is not an unprimeable number, because it can be changed into a prime (10344101436121) by changing a digit.

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, 21655935 + ... + 22128436.

It is an arithmetic number, because the mean of its divisors is an integer number (1334897933536).

Almost surely, 2^{10344101433121} is an apocalyptic number.

It is an amenable number.

10344101433121 is a deficient number, since it is larger than the sum of its proper divisors (335082035167).

10344101433121 is an equidigital number, since it uses as much as digits as its factorization.

10344101433121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43792023.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10344101433121 its reverse (12133410144301), we get a palindrome (22477511577422).

It can be divided in two parts, 1034410 and 1433121, that added together give a triangular number (2467531 = T₂₂₂₁).

The spelling of 10344101433121 in words is "ten trillion, three hundred forty-four billion, one hundred one million, four hundred thirty-three thousand, one hundred twenty-one".