1013293357668 has 144 divisors (see below), whose sum is σ = 2646271293120. Its totient is φ = 326682720000.

The previous prime is 1013293357633. The next prime is 1013293357679. The reversal of 1013293357668 is 8667533923101.

1013293357668 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 9 + 3 + 3 + 576 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311685043 + ... + 311688293.

It is an arithmetic number, because the mean of its divisors is an integer number (18376883980).

Almost surely, 2^{1013293357668} is an apocalyptic number.

1013293357668 is a gapful number since it is divisible by the number (18) 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 1013293357668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323135646560).

1013293357668 is an abundant number, since it is smaller than the sum of its proper divisors (1632977935452).

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

1013293357668 is a wasteful number, since it uses less digits than its factorization.

1013293357668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1013293357668 in words is "one trillion, thirteen billion, two hundred ninety-three million, three hundred fifty-seven thousand, six hundred sixty-eight".