10333134344 has 128 divisors (see below), whose sum is σ = 23432976000. Its totient is φ = 4219858944.

The previous prime is 10333134341. The next prime is 10333134359. The reversal of 10333134344 is 44343133301.

10333134344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10333134344³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10333134341) 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, 4668182 + ... + 4670394.

It is an arithmetic number, because the mean of its divisors is an integer number (183070125).

Almost surely, 2^10333134344 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 10333134344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716488000).

10333134344 is an abundant number, since it is smaller than the sum of its proper divisors (13099841656).

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

10333134344 is a wasteful number, since it uses less digits than its factorization.

10333134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 10333134344 its reverse (44343133301), we get a palindrome (54676267645).

The spelling of 10333134344 in words is "ten billion, three hundred thirty-three million, one hundred thirty-four thousand, three hundred forty-four".