10130011332224 has 128 divisors (see below), whose sum is σ = 23830975534080. Its totient is φ = 4197308129280.

The previous prime is 10130011332143. The next prime is 10130011332229. The reversal of 10130011332224 is 42223311003101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10130011332224.

It is not an unprimeable number, because it can be changed into a prime (10130011332229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28516082 + ... + 28869134.

It is an arithmetic number, because the mean of its divisors is an integer number (186179496360).

Almost surely, 2^{10130011332224} is an apocalyptic number.

10130011332224 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 10130011332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915487767040).

10130011332224 is an abundant number, since it is smaller than the sum of its proper divisors (13700964201856).

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

10130011332224 is a wasteful number, since it uses less digits than its factorization.

10130011332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354138 (or 354126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10130011332224 its reverse (42223311003101), we get a palindrome (52353322335325).

The spelling of 10130011332224 in words is "ten trillion, one hundred thirty billion, eleven million, three hundred thirty-two thousand, two hundred twenty-four".