1353331120 has 40 divisors (see below), whose sum is σ = 3148191360. Its totient is φ = 541040640.

The previous prime is 1353331103. The next prime is 1353331123. The reversal of 1353331120 is 211333531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1353331091 and 1353331100.

It is not an unprimeable number, because it can be changed into a prime (1353331123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204016 + ... + 210544.

It is an arithmetic number, because the mean of its divisors is an integer number (78704784).

Almost surely, 2^1353331120 is an apocalyptic number.

1353331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353331120 is an abundant number, since it is smaller than the sum of its proper divisors (1794860240).

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

1353331120 is a wasteful number, since it uses less digits than its factorization.

1353331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 1353331120 is about 36787.6490143091. The cubic root of 1353331120 is about 1106.1177363444.

Adding to 1353331120 its reverse (211333531), we get a palindrome (1564664651).

The spelling of 1353331120 in words is "one billion, three hundred fifty-three million, three hundred thirty-one thousand, one hundred twenty".