14314331130100 has 72 divisors (see below), whose sum is σ = 32069409926400. Its totient is φ = 5540114092800.

The previous prime is 14314331130061. The next prime is 14314331130101. The reversal of 14314331130100 is 103113341341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314331130101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18496731 + ... + 19255069.

It is an arithmetic number, because the mean of its divisors is an integer number (445408471200).

Almost surely, 2^{14314331130100} is an apocalyptic number.

14314331130100 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 14314331130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034704963200).

14314331130100 is an abundant number, since it is smaller than the sum of its proper divisors (17755078796300).

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

14314331130100 is a wasteful number, since it uses less digits than its factorization.

14314331130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764473 (or 764466 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 14314331130100 its reverse (103113341341), we get a palindrome (14417444471441).

The spelling of 14314331130100 in words is "fourteen trillion, three hundred fourteen billion, three hundred thirty-one million, one hundred thirty thousand, one hundred".