10317216133080 has 768 divisors, whose sum is σ = 36039802780800. Its totient is φ = 2652807905280.

The previous prime is 10317216133061. The next prime is 10317216133099. The reversal of 10317216133080 is 8033161271301.

10317216133080 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 7 + 2 + 1 + 613 + 30 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10317216133061) and next prime (10317216133099).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16830694854 + ... + 16830695466.

Almost surely, 2^{10317216133080} is an apocalyptic number.

10317216133080 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 10317216133080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019901390400).

10317216133080 is an abundant number, since it is smaller than the sum of its proper divisors (25722586647720).

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

10317216133080 is a wasteful number, since it uses less digits than its factorization.

10317216133080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10317216133080 in words is "ten trillion, three hundred seventeen billion, two hundred sixteen million, one hundred thirty-three thousand, eighty".