1313311320 has 80 divisors (see below), whose sum is σ = 4414196160. Its totient is φ = 350215488.

The previous prime is 1313311291. The next prime is 1313311393. The reversal of 1313311320 is 231133131.

It is a happy number.

1313311320 is a `hidden beast` number, since 1 + 31 + 3 + 311 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313311293 and 1313311302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199432 + ... + 205911.

It is an arithmetic number, because the mean of its divisors is an integer number (55177452).

Almost surely, 2^1313311320 is an apocalyptic number.

1313311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313311320 is an abundant number, since it is smaller than the sum of its proper divisors (3100884840).

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

1313311320 is a wasteful number, since it uses less digits than its factorization.

1313311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405366 (or 405353 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313311320 is about 36239.6374154047. The cubic root of 1313311320 is about 1095.1053379616.

Adding to 1313311320 its reverse (231133131), we get a palindrome (1544444451).

It can be divided in two parts, 131331 and 1320, that added together give a cube (132651 = 51³).

The spelling of 1313311320 in words is "one billion, three hundred thirteen million, three hundred eleven thousand, three hundred twenty".