10000103331344 has 160 divisors (see below), whose sum is σ = 23928905952000. Its totient is φ = 4032845322240.

The previous prime is 10000103331319. The next prime is 10000103331347. The reversal of 10000103331344 is 44313330100001.

It is not an unprimeable number, because it can be changed into a prime (10000103331347) 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 31 ways as a sum of consecutive naturals, for example, 730407539 + ... + 730421229.

It is an arithmetic number, because the mean of its divisors is an integer number (149555662200).

Almost surely, 2^{10000103331344} is an apocalyptic number.

10000103331344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000103331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964452976000).

10000103331344 is an abundant number, since it is smaller than the sum of its proper divisors (13928802620656).

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

10000103331344 is a wasteful number, since it uses less digits than its factorization.

10000103331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566 (or 21546 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10000103331344 its reverse (44313330100001), we get a palindrome (54313433431345).

The spelling of 10000103331344 in words is "ten trillion, one hundred three million, three hundred thirty-one thousand, three hundred forty-four".