1314000100 has 144 divisors (see below), whose sum is σ = 3541995520. Its totient is φ = 412905600.

The previous prime is 1314000059. The next prime is 1314000101. The reversal of 1314000100 is 10004131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1314000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410707 + ... + 413893.

Almost surely, 2^1314000100 is an apocalyptic number.

1314000100 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 1314000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770997760).

1314000100 is an abundant number, since it is smaller than the sum of its proper divisors (2227995420).

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

1314000100 is a wasteful number, since it uses less digits than its factorization.

1314000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1314000100 is about 36249.1393001268. The cubic root of 1314000100 is about 1095.2967510249.

Adding to 1314000100 its reverse (10004131), we get a palindrome (1324004231).

The spelling of 1314000100 in words is "one billion, three hundred fourteen million, one hundred", and thus it is an aban number.