13144040104200 has 48 divisors (see below), whose sum is σ = 40746524324880. Its totient is φ = 3505077360960.

The previous prime is 13144040104159. The next prime is 13144040104229. The reversal of 13144040104200 is 240104044131.

13144040104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10953366154 + ... + 10953367353.

It is an arithmetic number, because the mean of its divisors is an integer number (848885923435).

Almost surely, 2^{13144040104200} is an apocalyptic number.

13144040104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144040104200 is an abundant number, since it is smaller than the sum of its proper divisors (27602484220680).

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

13144040104200 is a wasteful number, since it uses less digits than its factorization.

13144040104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21906733526 (or 21906733517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13144040104200 its reverse (240104044131), we get a palindrome (13384144148331).

The spelling of 13144040104200 in words is "thirteen trillion, one hundred forty-four billion, forty million, one hundred four thousand, two hundred".