13101313032001 has 8 divisors (see below), whose sum is σ = 13121479150344. Its totient is φ = 13081148989440.

The previous prime is 13101313031969. The next prime is 13101313032037. The reversal of 13101313032001 is 10023031310131.

It can be written as a sum of positive squares in 4 ways, for example, as 8091885701376 + 5009427330625 = 2844624^2 + 2238175^2 .

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 13101313032001 - 2⁵ = 13101313031969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101313032001.

It is not an unprimeable number, because it can be changed into a prime (13101313032061) 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, 12359385 + ... + 13377481.

It is an arithmetic number, because the mean of its divisors is an integer number (1640184893793).

Almost surely, 2^{13101313032001} is an apocalyptic number.

It is an amenable number.

13101313032001 is a deficient number, since it is larger than the sum of its proper divisors (20166118343).

13101313032001 is a wasteful number, since it uses less digits than its factorization.

13101313032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037891.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13101313032001 its reverse (10023031310131), we get a palindrome (23124344342132).

The spelling of 13101313032001 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, thirty-two thousand, one".