10012131320320 has 160 divisors (see below), whose sum is σ = 24398204700672. Its totient is φ = 3939650076672.

The previous prime is 10012131320237. The next prime is 10012131320327. The reversal of 10012131320320 is 2302313121001.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (10012131320327) 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, 71505099 + ... + 71644981.

Almost surely, 2^{10012131320320} is an apocalyptic number.

10012131320320 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 10012131320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199102350336).

10012131320320 is an abundant number, since it is smaller than the sum of its proper divisors (14386073380352).

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

10012131320320 is an equidigital number, since it uses as much as digits as its factorization.

10012131320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140362 (or 140346 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10012131320320 its reverse (2302313121001), we get a palindrome (12314444441321).

The spelling of 10012131320320 in words is "ten trillion, twelve billion, one hundred thirty-one million, three hundred twenty thousand, three hundred twenty".