1373313312 has 576 divisors, whose sum is σ = 5253776640. Its totient is φ = 340402176.

The previous prime is 1373313307. The next prime is 1373313341. The reversal of 1373313312 is 2133133731.

1373313312 is a `hidden beast` number, since 1 + 37 + 3 + 313 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 37116558 + ... + 37116594.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 2^1373313312 is an apocalyptic number.

1373313312 is a gapful number since it is divisible by the number (12) 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 1373313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1373313312 is an abundant number, since it is smaller than the sum of its proper divisors (3880463328).

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

1373313312 is a wasteful number, since it uses less digits than its factorization.

1373313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 1373313312 is about 37058.2421601457. The cubic root of 1373313312 is about 1111.5351731144.

The spelling of 1373313312 in words is "one billion, three hundred seventy-three million, three hundred thirteen thousand, three hundred twelve".