1314631300 has 72 divisors (see below), whose sum is σ = 2898045416. Its totient is φ = 517570560.

The previous prime is 1314631289. The next prime is 1314631327. The reversal of 1314631300 is 31364131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1080173956 + 234457344 = 32866^2 + 15312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3035884 + ... + 3036316.

Almost surely, 2^1314631300 is an apocalyptic number.

1314631300 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 1314631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449022708).

1314631300 is an abundant number, since it is smaller than the sum of its proper divisors (1583414116).

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

1314631300 is a wasteful number, since it uses less digits than its factorization.

1314631300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1314631300 is about 36257.8446684300. The cubic root of 1314631300 is about 1095.4721037864.

Adding to 1314631300 its reverse (31364131), we get a palindrome (1345995431).

The spelling of 1314631300 in words is "one billion, three hundred fourteen million, six hundred thirty-one thousand, three hundred".