13101201001213 has 8 divisors (see below), whose sum is σ = 14375192971608. Its totient is φ = 11865238641984.

The previous prime is 13101201001199. The next prime is 13101201001261. The reversal of 13101201001213 is 31210010210131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66660526969 + 13034540474244 = 258187^2 + 3610338^2 .

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

It is not a de Polignac number, because 13101201001213 - 2¹⁷ = 13101200870141 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 (13101201001283) 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, 9507402070 + ... + 9507403447.

It is an arithmetic number, because the mean of its divisors is an integer number (1796899121451).

Almost surely, 2^{13101201001213} is an apocalyptic number.

13101201001213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13101201001213 is a deficient number, since it is larger than the sum of its proper divisors (1273991970395).

13101201001213 is a wasteful number, since it uses less digits than its factorization.

13101201001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19014805583.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13101201001213 its reverse (31210010210131), we get a palindrome (44311211211344).

The spelling of 13101201001213 in words is "thirteen trillion, one hundred one billion, two hundred one million, one thousand, two hundred thirteen".