10344334323101 has 16 divisors (see below), whose sum is σ = 10764718571520. Its totient is φ = 9929406921840.

The previous prime is 10344334323097. The next prime is 10344334323203. The reversal of 10344334323101 is 10132343344301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10344334323101 - 2² = 10344334323097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344334383101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15977840 + ... + 16612646.

It is an arithmetic number, because the mean of its divisors is an integer number (672794910720).

Almost surely, 2^{10344334323101} is an apocalyptic number.

It is an amenable number.

10344334323101 is a deficient number, since it is larger than the sum of its proper divisors (420384248419).

10344334323101 is a wasteful number, since it uses less digits than its factorization.

10344334323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639104.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 10344334323101 its reverse (10132343344301), we get a palindrome (20476677667402).

The spelling of 10344334323101 in words is "ten trillion, three hundred forty-four billion, three hundred thirty-four million, three hundred twenty-three thousand, one hundred one".