1314430431100 has 72 divisors (see below), whose sum is σ = 2861844955200. Its totient is φ = 524018227200.

The previous prime is 1314430431089. The next prime is 1314430431109. The reversal of 1314430431100 is 11340344131.

It is a happy number.

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 (1314430431109) 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 23 ways as a sum of consecutive naturals, for example, 37442356 + ... + 37477444.

It is an arithmetic number, because the mean of its divisors is an integer number (39747846600).

Almost surely, 2^{1314430431100} is an apocalyptic number.

1314430431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314430431100 is an abundant number, since it is smaller than the sum of its proper divisors (1547414524100).

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

1314430431100 is a wasteful number, since it uses less digits than its factorization.

1314430431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36343 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1314430431100 its reverse (11340344131), we get a palindrome (1325770775231).

The spelling of 1314430431100 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, four hundred thirty-one thousand, one hundred".