1314130000 has 50 divisors (see below), whose sum is σ = 3181664354. Its totient is φ = 525648000.

The previous prime is 1314129989. The next prime is 1314130007. The reversal of 1314130000 is 314131.

It can be written as a sum of positive squares in 5 ways, for example, as 240126016 + 1074003984 = 15496^2 + 32772^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314130007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 55707 + ... + 75706.

Almost surely, 2^1314130000 is an apocalyptic number.

1314130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314130000 is an abundant number, since it is smaller than the sum of its proper divisors (1867534354).

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

1314130000 is an equidigital number, since it uses as much as digits as its factorization.

1314130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131441 (or 131420 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1314130000 is about 36250.9310225269. The cubic root of 1314130000 is about 1095.3328429450.

Adding to 1314130000 its reverse (314131), we get a palindrome (1314444131).

The spelling of 1314130000 in words is "one billion, three hundred fourteen million, one hundred thirty thousand".