1343133120 has 224 divisors, whose sum is σ = 4974336000. Its totient is φ = 306926592.

The previous prime is 1343133119. The next prime is 1343133137. The reversal of 1343133120 is 213313431.

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 (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327241 + ... + 331319.

Almost surely, 2^1343133120 is an apocalyptic number.

1343133120 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 1343133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487168000).

1343133120 is an abundant number, since it is smaller than the sum of its proper divisors (3631202880).

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

1343133120 is an equidigital number, since it uses as much as digits as its factorization.

1343133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1343133120 is about 36648.7806072726. The cubic root of 1343133120 is about 1103.3323520425.

Adding to 1343133120 its reverse (213313431), we get a palindrome (1556446551).

The spelling of 1343133120 in words is "one billion, three hundred forty-three million, one hundred thirty-three thousand, one hundred twenty".