13144564101 has 32 divisors (see below), whose sum is σ = 19472348160. Its totient is φ = 7844781824.

The previous prime is 13144564087. The next prime is 13144564133. The reversal of 13144564101 is 10146544131.

It is a cyclic number.

It is not a de Polignac number, because 13144564101 - 2¹⁵ = 13144531333 is a prime.

It is a super-3 number, since 3×13144564101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144560101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178666 + ... + 241268.

It is an arithmetic number, because the mean of its divisors is an integer number (608510880).

Almost surely, 2^13144564101 is an apocalyptic number.

It is an amenable number.

13144564101 is a deficient number, since it is larger than the sum of its proper divisors (6327784059).

13144564101 is a wasteful number, since it uses less digits than its factorization.

13144564101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62825.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 13144564101 in words is "thirteen billion, one hundred forty-four million, five hundred sixty-four thousand, one hundred one".