10444133113113 has 48 divisors (see below), whose sum is σ = 16501042595520. Its totient is φ = 5857157376000.

The previous prime is 10444133113111. The next prime is 10444133113129. The reversal of 10444133113113 is 31131133144401.

It is not a de Polignac number, because 10444133113113 - 2¹ = 10444133113111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10444133113111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210633 + ... + 6214313.

It is an arithmetic number, because the mean of its divisors is an integer number (343771720740).

Almost surely, 2^{10444133113113} is an apocalyptic number.

It is an amenable number.

10444133113113 is a deficient number, since it is larger than the sum of its proper divisors (6056909482407).

10444133113113 is a wasteful number, since it uses less digits than its factorization.

10444133113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004358 (or 2004351 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 10444133113113 its reverse (31131133144401), we get a palindrome (41575266257514).

The spelling of 10444133113113 in words is "ten trillion, four hundred forty-four billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred thirteen".