1313643540 has 192 divisors, whose sum is σ = 4147734528. Its totient is φ = 307929600.

The previous prime is 1313643497. The next prime is 1313643553. The reversal of 1313643540 is 453463131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1313643498 and 1313643507.

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 63 ways as a sum of consecutive naturals, for example, 2697177 + ... + 2697663.

It is an arithmetic number, because the mean of its divisors is an integer number (21602784).

Almost surely, 2^1313643540 is an apocalyptic number.

1313643540 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 1313643540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073867264).

1313643540 is an abundant number, since it is smaller than the sum of its proper divisors (2834090988).

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

1313643540 is a wasteful number, since it uses less digits than its factorization.

1313643540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1313643540 is about 36244.2207806983. The cubic root of 1313643540 is about 1095.1976707839.

The spelling of 1313643540 in words is "one billion, three hundred thirteen million, six hundred forty-three thousand, five hundred forty".