13022021031201 has 36 divisors (see below), whose sum is σ = 23563657114452. Its totient is φ = 6868758343104.

The previous prime is 13022021031191. The next prime is 13022021031203. The reversal of 13022021031201 is 10213012022031.

13022021031201 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 210 + 31 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 801060800400 + 12220960230801 = 895020^2 + 3495849^2 .

It is not a de Polignac number, because 13022021031201 - 2⁷ = 13022021031073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13022021031203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1135701666 + ... + 1135713131.

It is an arithmetic number, because the mean of its divisors is an integer number (654546030957).

Almost surely, 2^{13022021031201} is an apocalyptic number.

It is an amenable number.

13022021031201 is a deficient number, since it is larger than the sum of its proper divisors (10541636083251).

13022021031201 is a wasteful number, since it uses less digits than its factorization.

13022021031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271414830 (or 2271414820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022021031201 its reverse (10213012022031), we get a palindrome (23235033053232).

The spelling of 13022021031201 in words is "thirteen trillion, twenty-two billion, twenty-one million, thirty-one thousand, two hundred one".