10032133320013 has 16 divisors (see below), whose sum is σ = 11486611420416. Its totient is φ = 8582993274240.

The previous prime is 10032133319983. The next prime is 10032133320043. The reversal of 10032133320013 is 31002333123001.

It is an interprime number because it is at equal distance from previous prime (10032133319983) and next prime (10032133320043).

It is not a de Polignac number, because 10032133320013 - 2⁹ = 10032133319501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032133320043) 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, 13058745 + ... + 13805617.

It is an arithmetic number, because the mean of its divisors is an integer number (717913213776).

Almost surely, 2^{10032133320013} is an apocalyptic number.

It is an amenable number.

10032133320013 is a deficient number, since it is larger than the sum of its proper divisors (1454478100403).

10032133320013 is an equidigital number, since it uses as much as digits as its factorization.

10032133320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750444.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10032133320013 its reverse (31002333123001), we get a palindrome (41034466443014).

The spelling of 10032133320013 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, three hundred twenty thousand, thirteen".