10313667936 has 288 divisors, whose sum is σ = 34642363392. Its totient is φ = 2869447680.

The previous prime is 10313667911. The next prime is 10313667941. The reversal of 10313667936 is 63976631301.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 10313667891 and 10313667900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9183471 + ... + 9184593.

It is an arithmetic number, because the mean of its divisors is an integer number (120285984).

Almost surely, 2^10313667936 is an apocalyptic number.

10313667936 is a gapful number since it is divisible by the number (16) 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 10313667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321181696).

10313667936 is an abundant number, since it is smaller than the sum of its proper divisors (24328695456).

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

10313667936 is a wasteful number, since it uses less digits than its factorization.

10313667936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 10313667936 in words is "ten billion, three hundred thirteen million, six hundred sixty-seven thousand, nine hundred thirty-six".