1331313600 has 336 divisors, whose sum is σ = 4716840960. Its totient is φ = 327782400.

The previous prime is 1331313559. The next prime is 1331313601. The reversal of 1331313600 is 63131331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3422206 + ... + 3422594.

Almost surely, 2^1331313600 is an apocalyptic number.

1331313600 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 1331313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358420480).

1331313600 is an abundant number, since it is smaller than the sum of its proper divisors (3385527360).

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

1331313600 is a wasteful number, since it uses less digits than its factorization.

1331313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 1331313600 is about 36487.1703479456. The cubic root of 1331313600 is about 1100.0863844005.

Adding to 1331313600 its reverse (63131331), we get a palindrome (1394444931).

The spelling of 1331313600 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, six hundred".