1013182338168 has 640 divisors, whose sum is σ = 3849778437120. Its totient is φ = 240401571840.

The previous prime is 1013182338163. The next prime is 1013182338187. The reversal of 1013182338168 is 8618332813101.

It is a happy number.

1013182338168 is a `hidden beast` number, since 1 + 0 + 131 + 82 + 3 + 381 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013182338163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62910805 + ... + 62926907.

It is an arithmetic number, because the mean of its divisors is an integer number (6015278808).

Almost surely, 2^{1013182338168} is an apocalyptic number.

1013182338168 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 1013182338168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924889218560).

1013182338168 is an abundant number, since it is smaller than the sum of its proper divisors (2836596098952).

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

1013182338168 is a wasteful number, since it uses less digits than its factorization.

1013182338168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1013182338168 in words is "one trillion, thirteen billion, one hundred eighty-two million, three hundred thirty-eight thousand, one hundred sixty-eight".