1363312140 has 48 divisors (see below), whose sum is σ = 3855085920. Its totient is φ = 359948800.

The previous prime is 1363312133. The next prime is 1363312147. The reversal of 1363312140 is 412133631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1363312133) and next prime (1363312147).

It is a self number, because there is not a number n which added to its sum of digits gives 1363312140.

It is not an unprimeable number, because it can be changed into a prime (1363312147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106425 + ... + 118544.

It is an arithmetic number, because the mean of its divisors is an integer number (80314290).

Almost surely, 2^1363312140 is an apocalyptic number.

1363312140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1363312140 is an abundant number, since it is smaller than the sum of its proper divisors (2491773780).

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

1363312140 is a wasteful number, since it uses less digits than its factorization.

1363312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225082 (or 225080 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1363312140 is about 36923.0570240331. The cubic root of 1363312140 is about 1108.8303400190.

Adding to 1363312140 its reverse (412133631), we get a palindrome (1775445771).

The spelling of 1363312140 in words is "one billion, three hundred sixty-three million, three hundred twelve thousand, one hundred forty".