10315315520000 has 200 divisors, whose sum is σ = 25773347935500. Its totient is φ = 4123164672000.

The previous prime is 10315315519973. The next prime is 10315315520039. The reversal of 10315315520000 is 2551351301.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2378158768384 + 7937156751616 = 1542128^2 + 2817296^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476469176 + ... + 476490824.

Almost surely, 2^{10315315520000} is an apocalyptic number.

10315315520000 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 10315315520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886673967750).

10315315520000 is an abundant number, since it is smaller than the sum of its proper divisors (15458032415500).

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

10315315520000 is an frugal number, since it uses more digits than its factorization.

10315315520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23176 (or 23145 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 10315315520000 its reverse (2551351301), we get a palindrome (10317866871301).

The spelling of 10315315520000 in words is "ten trillion, three hundred fifteen billion, three hundred fifteen million, five hundred twenty thousand".