13031022001 has 8 divisors (see below), whose sum is σ = 13198563560. Its totient is φ = 12864158208.

The previous prime is 13031021963. The next prime is 13031022029. The reversal of 13031022001 is 10022013031.

13031022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4415469601 + 8615552400 = 66449^2 + 92820^2 .

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 13031022001 - 2¹⁹ = 13030497713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031622001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130686 + ... + 207703.

It is an arithmetic number, because the mean of its divisors is an integer number (1649820445).

Almost surely, 2^13031022001 is an apocalyptic number.

It is an amenable number.

13031022001 is a deficient number, since it is larger than the sum of its proper divisors (167541559).

13031022001 is an equidigital number, since it uses as much as digits as its factorization.

13031022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338883.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13031022001 its reverse (10022013031), we get a palindrome (23053035032).

The spelling of 13031022001 in words is "thirteen billion, thirty-one million, twenty-two thousand, one".