1313049920 has 224 divisors, whose sum is σ = 3911486208. Its totient is φ = 408748032.

The previous prime is 1313049917. The next prime is 1313049953. The reversal of 1313049920 is 299403131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950704 + ... + 1951376.

It is an arithmetic number, because the mean of its divisors is an integer number (17461992).

Almost surely, 2^1313049920 is an apocalyptic number.

1313049920 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 1313049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955743104).

1313049920 is an abundant number, since it is smaller than the sum of its proper divisors (2598436288).

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

1313049920 is a wasteful number, since it uses less digits than its factorization.

1313049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1313049920 is about 36236.0306877009. The cubic root of 1313049920 is about 1095.0326769646.

The spelling of 1313049920 in words is "one billion, three hundred thirteen million, forty-nine thousand, nine hundred twenty".