1313690400 has 720 divisors, whose sum is σ = 5558081760. Its totient is φ = 298598400.

The previous prime is 1313690393. The next prime is 1313690423. The reversal of 1313690400 is 40963131.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 13543152 + ... + 13543248.

It is an arithmetic number, because the mean of its divisors is an integer number (7719558).

Almost surely, 2^1313690400 is an apocalyptic number.

1313690400 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 1313690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779040880).

1313690400 is an abundant number, since it is smaller than the sum of its proper divisors (4244391360).

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

1313690400 is a wasteful number, since it uses less digits than its factorization.

1313690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1313690400 is about 36244.8672228220. The cubic root of 1313690400 is about 1095.2106931783.

The spelling of 1313690400 in words is "one billion, three hundred thirteen million, six hundred ninety thousand, four hundred".