1353131340 has 192 divisors, whose sum is σ = 4263985152. Its totient is φ = 317824000.

The previous prime is 1353131293. The next prime is 1353131383. The reversal of 1353131340 is 431313531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353131340.

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 63 ways as a sum of consecutive naturals, for example, 3532789 + ... + 3533171.

It is an arithmetic number, because the mean of its divisors is an integer number (22208256).

Almost surely, 2^1353131340 is an apocalyptic number.

1353131340 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 1353131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131992576).

1353131340 is an abundant number, since it is smaller than the sum of its proper divisors (2910853812).

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

1353131340 is a wasteful number, since it uses less digits than its factorization.

1353131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1353131340 is about 36784.9336005925. The cubic root of 1353131340 is about 1106.0633049558.

Adding to 1353131340 its reverse (431313531), we get a palindrome (1784444871).

The spelling of 1353131340 in words is "one billion, three hundred fifty-three million, one hundred thirty-one thousand, three hundred forty".