1313426400 has 576 divisors, whose sum is σ = 5197167360. Its totient is φ = 283852800.

The previous prime is 1313426381. The next prime is 1313426419. The reversal of 1313426400 is 46243131.

It is an interprime number because it is at equal distance from previous prime (1313426381) and next prime (1313426419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14757556 + ... + 14757644.

It is an arithmetic number, because the mean of its divisors is an integer number (9022860).

Almost surely, 2^1313426400 is an apocalyptic number.

1313426400 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 1313426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598583680).

1313426400 is an abundant number, since it is smaller than the sum of its proper divisors (3883740960).

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

1313426400 is a wasteful number, since it uses less digits than its factorization.

1313426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1313426400 is about 36241.2251448540. The cubic root of 1313426400 is about 1095.1373235336.

Adding to 1313426400 its reverse (46243131), we get a palindrome (1359669531).

The spelling of 1313426400 in words is "one billion, three hundred thirteen million, four hundred twenty-six thousand, four hundred".