102304313321344 has 64 divisors (see below), whose sum is σ = 205362063018000. Its totient is φ = 50763851550720.

The previous prime is 102304313321333. The next prime is 102304313321423. The reversal of 102304313321344 is 443123313403201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3998964 + ... + 14852620.

Almost surely, 2^{102304313321344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102304313321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102681031509000).

102304313321344 is an abundant number, since it is smaller than the sum of its proper divisors (103057749696656).

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

102304313321344 is a wasteful number, since it uses less digits than its factorization.

102304313321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10854231 (or 10854219 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 102304313321344 its reverse (443123313403201), we get a palindrome (545427626724545).

The spelling of 102304313321344 in words is "one hundred two trillion, three hundred four billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred forty-four".