13144512700 has 144 divisors (see below), whose sum is σ = 32221937664. Its totient is φ = 4612204800.

The previous prime is 13144512649. The next prime is 13144512707. The reversal of 13144512700 is 721544131.

It is a super-2 number, since 2×13144512700² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144512707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5167629 + ... + 5170171.

It is an arithmetic number, because the mean of its divisors is an integer number (223763456).

Almost surely, 2^13144512700 is an apocalyptic number.

13144512700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144512700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110968832).

13144512700 is an abundant number, since it is smaller than the sum of its proper divisors (19077424964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13144512700 is a wasteful number, since it uses less digits than its factorization.

13144512700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 13144512700 in words is "thirteen billion, one hundred forty-four million, five hundred twelve thousand, seven hundred".