13000301211001 has 16 divisors (see below), whose sum is σ = 14061929469840. Its totient is φ = 11947545308160.

The previous prime is 13000301210851. The next prime is 13000301211041. The reversal of 13000301211001 is 10011210300031.

It can be written as a sum of positive squares in 8 ways, for example, as 92233082601 + 12908068128400 = 303699^2 + 3592780^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000301211001 - 2¹⁵ = 13000301178233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13000301211041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866495 + ... + 5849563.

It is an arithmetic number, because the mean of its divisors is an integer number (878870591865).

Almost surely, 2^{13000301211001} is an apocalyptic number.

It is an amenable number.

13000301211001 is a deficient number, since it is larger than the sum of its proper divisors (1061628258839).

13000301211001 is a wasteful number, since it uses less digits than its factorization.

13000301211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984556.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13000301211001 its reverse (10011210300031), we get a palindrome (23011511511032).

The spelling of 13000301211001 in words is "thirteen trillion, three hundred one million, two hundred eleven thousand, one".