14131101130400 has 72 divisors (see below), whose sum is σ = 34640694470844. Its totient is φ = 5628986265600.

The previous prime is 14131101130381. The next prime is 14131101130417. The reversal of 14131101130400 is 403110113141.

It can be written as a sum of positive squares in 6 ways, for example, as 11238666217744 + 2892434912656 = 3352412^2 + 1700716^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 36454247 + ... + 36839846.

Almost surely, 2^{14131101130400} is an apocalyptic number.

14131101130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131101130400 is an abundant number, since it is smaller than the sum of its proper divisors (20509593340444).

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

14131101130400 is a wasteful number, since it uses less digits than its factorization.

14131101130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73294354 (or 73294341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 14131101130400 its reverse (403110113141), we get a palindrome (14534211243541).

The spelling of 14131101130400 in words is "fourteen trillion, one hundred thirty-one billion, one hundred one million, one hundred thirty thousand, four hundred".