10001332120013 has 4 divisors (see below), whose sum is σ = 10770665360028. Its totient is φ = 9231998880000.

The previous prime is 10001332120009. The next prime is 10001332120051. The reversal of 10001332120013 is 31002123310001.

10001332120013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5120073766564 + 4881258353449 = 2262758^2 + 2209357^2 .

It is not a de Polignac number, because 10001332120013 - 2² = 10001332120009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001332119973 and 10001332120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001332126013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384666619988 + ... + 384666620013.

It is an arithmetic number, because the mean of its divisors is an integer number (2692666340007).

Almost surely, 2^{10001332120013} is an apocalyptic number.

10001332120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001332120013 is a deficient number, since it is larger than the sum of its proper divisors (769333240015).

10001332120013 is an equidigital number, since it uses as much as digits as its factorization.

10001332120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769333240014.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10001332120013 its reverse (31002123310001), we get a palindrome (41003455430014).

The spelling of 10001332120013 in words is "ten trillion, one billion, three hundred thirty-two million, one hundred twenty thousand, thirteen".