13101313003001 has 8 divisors (see below), whose sum is σ = 13288896044424. Its totient is φ = 12913949232000.

The previous prime is 13101313002961. The next prime is 13101313003033. The reversal of 13101313003001 is 10030031310131.

It can be written as a sum of positive squares in 4 ways, for example, as 12293487376 + 13089019515625 = 110876^2 + 3617875^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13101313003001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13101313003091) 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, 54697250 + ... + 54936251.

It is an arithmetic number, because the mean of its divisors is an integer number (1661112005553).

Almost surely, 2^{13101313003001} is an apocalyptic number.

It is an amenable number.

13101313003001 is a deficient number, since it is larger than the sum of its proper divisors (187583041423).

13101313003001 is a wasteful number, since it uses less digits than its factorization.

13101313003001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109635211.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13101313003001 its reverse (10030031310131), we get a palindrome (23131344313132).

The spelling of 13101313003001 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, three thousand, one".