10313334720 has 560 divisors, whose sum is σ = 39984688128. Its totient is φ = 2508226560.

The previous prime is 10313334719. The next prime is 10313334769. The reversal of 10313334720 is 2743331301.

10313334720 is a `hidden beast` number, since 1 + 0 + 313 + 3 + 347 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42793800 + ... + 42794040.

Almost surely, 2^10313334720 is an apocalyptic number.

10313334720 is a gapful number since it is divisible by the number (10) 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 10313334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992344064).

10313334720 is an abundant number, since it is smaller than the sum of its proper divisors (29671353408).

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

10313334720 is a wasteful number, since it uses less digits than its factorization.

10313334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 10313334720 in words is "ten billion, three hundred thirteen million, three hundred thirty-four thousand, seven hundred twenty".