1312713600 has 384 divisors, whose sum is σ = 4881116160. Its totient is φ = 307200000.

The previous prime is 1312713559. The next prime is 1312713601. The reversal of 1312713600 is 63172131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312713601) 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, 3273400 + ... + 3273800.

It is an arithmetic number, because the mean of its divisors is an integer number (12711240).

Almost surely, 2^1312713600 is an apocalyptic number.

1312713600 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 1312713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440558080).

1312713600 is an abundant number, since it is smaller than the sum of its proper divisors (3568402560).

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

1312713600 is a wasteful number, since it uses less digits than its factorization.

1312713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1312713600 is about 36231.3897056130. The cubic root of 1312713600 is about 1094.9391763717.

Adding to 1312713600 its reverse (63172131), we get a palindrome (1375885731).

The spelling of 1312713600 in words is "one billion, three hundred twelve million, seven hundred thirteen thousand, six hundred".