1314031000 has 64 divisors (see below), whose sum is σ = 3095820000. Its totient is φ = 522025600.

The previous prime is 1314030989. The next prime is 1314031003. The reversal of 1314031000 is 1304131.

It is a super-2 number, since 2×1314031000² = 3453354937922000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314031003) 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 15 ways as a sum of consecutive naturals, for example, 144591 + ... + 153409.

Almost surely, 2^1314031000 is an apocalyptic number.

1314031000 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 1314031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547910000).

1314031000 is an abundant number, since it is smaller than the sum of its proper divisors (1781789000).

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

1314031000 is a wasteful number, since it uses less digits than its factorization.

1314031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8975 counting only the distinct ones).

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

The square root of 1314031000 is about 36249.5655146376. The cubic root of 1314031000 is about 1095.3053366164.

Adding to 1314031000 its reverse (1304131), we get a palindrome (1315335131).

The spelling of 1314031000 in words is "one billion, three hundred fourteen million, thirty-one thousand".