201013131321013 has 8 divisors (see below), whose sum is σ = 219775442227200. Its totient is φ = 182332218727680.

The previous prime is 201013131320929. The next prime is 201013131321029. The reversal of 201013131321013 is 310123131310102.

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 201013131321013 - 2³⁷ = 200875692367541 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 (201013131321113) 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 7 ways as a sum of consecutive naturals, for example, 20349573045 + ... + 20349582922.

It is an arithmetic number, because the mean of its divisors is an integer number (27471930278400).

Almost surely, 2^{201013131321013} is an apocalyptic number.

It is an amenable number.

201013131321013 is a deficient number, since it is larger than the sum of its proper divisors (18762310906187).

201013131321013 is a wasteful number, since it uses less digits than its factorization.

201013131321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40699156427.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 201013131321013 its reverse (310123131310102), we get a palindrome (511136262631115).

The spelling of 201013131321013 in words is "two hundred one trillion, thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, thirteen".