10313653262304 has 192 divisors, whose sum is σ = 31243175470080. Its totient is φ = 2918023127040.

The previous prime is 10313653262293. The next prime is 10313653262327. The reversal of 10313653262304 is 40326235631301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84151789 + ... + 84274259.

It is an arithmetic number, because the mean of its divisors is an integer number (162724872240).

Almost surely, 2^{10313653262304} is an apocalyptic number.

10313653262304 is a gapful number since it is divisible by the number (14) 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 10313653262304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621587735040).

10313653262304 is an abundant number, since it is smaller than the sum of its proper divisors (20929522207776).

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

10313653262304 is a wasteful number, since it uses less digits than its factorization.

10313653262304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123713 (or 123705 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

Adding to 10313653262304 its reverse (40326235631301), we get a palindrome (50639888893605).

The spelling of 10313653262304 in words is "ten trillion, three hundred thirteen billion, six hundred fifty-three million, two hundred sixty-two thousand, three hundred four".