1313333120 has 128 divisors (see below), whose sum is σ = 3574471680. Its totient is φ = 456755200.

The previous prime is 1313333117. The next prime is 1313333171. The reversal of 1313333120 is 213333131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1313333092 and 1313333101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157865 + ... + 165975.

It is an arithmetic number, because the mean of its divisors is an integer number (27925560).

Almost surely, 2^1313333120 is an apocalyptic number.

1313333120 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 1313333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787235840).

1313333120 is an abundant number, since it is smaller than the sum of its proper divisors (2261138560).

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

1313333120 is a wasteful number, since it uses less digits than its factorization.

1313333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1313333120 is about 36239.9381897928. The cubic root of 1313333120 is about 1095.1113972419. Note that the first 3 decimals are identical.

1313333120 divided by its sum of digits (20) gives a palindrome (65666656).

Adding to 1313333120 its reverse (213333131), we get a palindrome (1526666251).

It can be divided in two parts, 1313 and 333120, that added together give a palindrome (334433).

The spelling of 1313333120 in words is "one billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".