10130316284928 has 528 divisors, whose sum is σ = 34129260902400. Its totient is φ = 2653564354560.

The previous prime is 10130316284923. The next prime is 10130316284969. The reversal of 10130316284928 is 82948261303101.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130316284923) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88603863 + ... + 88718121.

Almost surely, 2^{10130316284928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130316284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064630451200).

10130316284928 is an abundant number, since it is smaller than the sum of its proper divisors (23998944617472).

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

10130316284928 is a wasteful number, since it uses less digits than its factorization.

10130316284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114346 (or 114321 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 10130316284928 in words is "ten trillion, one hundred thirty billion, three hundred sixteen million, two hundred eighty-four thousand, nine hundred twenty-eight".