13034144310001 has 16 divisors (see below), whose sum is σ = 13490610210000. Its totient is φ = 12578147721216.

The previous prime is 13034144309947. The next prime is 13034144310053. The reversal of 13034144310001 is 10001344143031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 249801039601 + 12784343270400 = 499801^2 + 3575520^2 .

It is a cyclic number.

It is not a de Polignac number, because 13034144310001 - 2²⁷ = 13034010092273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13034114310001) 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, 572439945 + ... + 572462713.

It is an arithmetic number, because the mean of its divisors is an integer number (843163138125).

Almost surely, 2^{13034144310001} is an apocalyptic number.

It is an amenable number.

13034144310001 is a deficient number, since it is larger than the sum of its proper divisors (456465899999).

13034144310001 is a wasteful number, since it uses less digits than its factorization.

13034144310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32196.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13034144310001 its reverse (10001344143031), we get a palindrome (23035488453032).

The spelling of 13034144310001 in words is "thirteen trillion, thirty-four billion, one hundred forty-four million, three hundred ten thousand, one".