10012130133320 has 128 divisors (see below), whose sum is σ = 26109189043200. Its totient is φ = 3384519936000.

The previous prime is 10012130133301. The next prime is 10012130133329. The reversal of 10012130133320 is 2333103121001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10012130133292 and 10012130133301.

It is not an unprimeable number, because it can be changed into a prime (10012130133329) 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 31 ways as a sum of consecutive naturals, for example, 6018260 + ... + 7499580.

It is an arithmetic number, because the mean of its divisors is an integer number (203978039400).

Almost surely, 2^{10012130133320} is an apocalyptic number.

10012130133320 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 10012130133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054594521600).

10012130133320 is an abundant number, since it is smaller than the sum of its proper divisors (16097058909880).

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

10012130133320 is a wasteful number, since it uses less digits than its factorization.

10012130133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481679 (or 1481675 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10012130133320 its reverse (2333103121001), we get a palindrome (12345233254321).

The spelling of 10012130133320 in words is "ten trillion, twelve billion, one hundred thirty million, one hundred thirty-three thousand, three hundred twenty".