13001000032213 has 8 divisors (see below), whose sum is σ = 13366045161432. Its totient is φ = 12636674205696.

The previous prime is 13001000032187. The next prime is 13001000032247. The reversal of 13001000032213 is 31223000010031.

It can be written as a sum of positive squares in 4 ways, for example, as 8931831572689 + 4069168459524 = 2988617^2 + 2017218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13001000032213 - 2³⁷ = 12863561078741 is a prime.

It is a super-3 number, since 3×13001000032213³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001000032313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179789020 + ... + 179861317.

It is an arithmetic number, because the mean of its divisors is an integer number (1670755645179).

Almost surely, 2^{13001000032213} is an apocalyptic number.

It is an amenable number.

13001000032213 is a deficient number, since it is larger than the sum of its proper divisors (365045129219).

13001000032213 is an equidigital number, since it uses as much as digits as its factorization.

13001000032213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359651351.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13001000032213 its reverse (31223000010031), we get a palindrome (44224000042244).

The spelling of 13001000032213 in words is "thirteen trillion, one billion, thirty-two thousand, two hundred thirteen".