13101031010001 has 16 divisors (see below), whose sum is σ = 19077773819328. Its totient is φ = 7930965163200.

The previous prime is 13101031009897. The next prime is 13101031010051. The reversal of 13101031010001 is 10001013010131.

It is not a de Polignac number, because 13101031010001 - 2¹³ = 13101031001809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13101031010051) 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 15 ways as a sum of consecutive naturals, for example, 226311390 + ... + 226369271.

It is an arithmetic number, because the mean of its divisors is an integer number (1192360863708).

Almost surely, 2^{13101031010001} is an apocalyptic number.

13101031010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101031010001 is a deficient number, since it is larger than the sum of its proper divisors (5976742809327).

13101031010001 is a wasteful number, since it uses less digits than its factorization.

13101031010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452681552.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 13101031010001 its reverse (10001013010131), we get a palindrome (23102044020132).

The spelling of 13101031010001 in words is "thirteen trillion, one hundred one billion, thirty-one million, ten thousand, one".