1313432120 has 128 divisors (see below), whose sum is σ = 3967971840. Its totient is φ = 377879040.

The previous prime is 1313432101. The next prime is 1313432173. The reversal of 1313432120 is 212343131.

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 = 1313432092 and 1313432101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23639 + ... + 56441.

It is an arithmetic number, because the mean of its divisors is an integer number (30999780).

Almost surely, 2^1313432120 is an apocalyptic number.

1313432120 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 1313432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983985920).

1313432120 is an abundant number, since it is smaller than the sum of its proper divisors (2654539720).

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

1313432120 is a wasteful number, since it uses less digits than its factorization.

1313432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32845 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1313432120 is about 36241.3040604225. The cubic root of 1313432120 is about 1095.1389133134.

Adding to 1313432120 its reverse (212343131), we get a palindrome (1525775251).

It can be divided in two parts, 13134 and 32120, that added together give a palindrome (45254).

The spelling of 1313432120 in words is "one billion, three hundred thirteen million, four hundred thirty-two thousand, one hundred twenty".