1313169120 has 144 divisors (see below), whose sum is σ = 4494776832. Its totient is φ = 349117440.

The previous prime is 1313169089. The next prime is 1313169133. The reversal of 1313169120 is 219613131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1313169120³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550330 + ... + 552710.

It is an arithmetic number, because the mean of its divisors is an integer number (31213728).

Almost surely, 2^1313169120 is an apocalyptic number.

1313169120 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 1313169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247388416).

1313169120 is an abundant number, since it is smaller than the sum of its proper divisors (3181607712).

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

1313169120 is a wasteful number, since it uses less digits than its factorization.

1313169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1313169120 is about 36237.6754221349. The cubic root of 1313169120 is about 1095.0658120199.

The spelling of 1313169120 in words is "one billion, three hundred thirteen million, one hundred sixty-nine thousand, one hundred twenty".