10304342314332 has 192 divisors, whose sum is σ = 29071795027968. Its totient is φ = 2803989888000.

The previous prime is 10304342314319. The next prime is 10304342314333. The reversal of 10304342314332 is 23341324340301.

It is a happy number.

It is a super-3 number, since 3×10304342314332³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10304342314293 and 10304342314302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304342314333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3895893 + ... + 5982195.

It is an arithmetic number, because the mean of its divisors is an integer number (151415599104).

Almost surely, 2^{10304342314332} is an apocalyptic number.

10304342314332 is a gapful number since it is divisible by the number (12) 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 10304342314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535897513984).

10304342314332 is an abundant number, since it is smaller than the sum of its proper divisors (18767452713636).

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

10304342314332 is a wasteful number, since it uses less digits than its factorization.

10304342314332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086440 (or 2086438 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 10304342314332 its reverse (23341324340301), we get a palindrome (33645666654633).

The spelling of 10304342314332 in words is "ten trillion, three hundred four billion, three hundred forty-two million, three hundred fourteen thousand, three hundred thirty-two".