13101011000001 has 6 divisors (see below), whose sum is σ = 18923682555570. Its totient is φ = 8734007333328.

The previous prime is 13101010999961. The next prime is 13101011000027. The reversal of 13101011000001 is 10000011010131.

13101011000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7945041503025 + 5155969496976 = 2818695^2 + 2270676^2 .

It is not a de Polignac number, because 13101011000001 - 2¹⁹ = 13101010475713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1455667888889 = 13101011000001 / (1 + 3 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (13101011040001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 727833944436 + ... + 727833944453.

It is an arithmetic number, because the mean of its divisors is an integer number (3153947092595).

Almost surely, 2^{13101011000001} is an apocalyptic number.

It is an amenable number.

13101011000001 is a deficient number, since it is larger than the sum of its proper divisors (5822671555569).

13101011000001 is a wasteful number, since it uses less digits than its factorization.

13101011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455667888895 (or 1455667888892 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 13101011000001 its reverse (10000011010131), we get a palindrome (23101022010132).

The spelling of 13101011000001 in words is "thirteen trillion, one hundred one billion, eleven million, one", and thus it is an aban number.