101318336 has 56 divisors (see below), whose sum is σ = 241889280. Its totient is φ = 41133312.

The previous prime is 101318333. The next prime is 101318353. The reversal of 101318336 is 633813101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (101318333) 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 7 ways as a sum of consecutive naturals, for example, 2561 + ... + 14463.

Almost surely, 2^101318336 is an apocalyptic number.

101318336 is a gapful number since it is divisible by the number (16) 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 101318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

101318336 is an abundant number, since it is smaller than the sum of its proper divisors (140570944).

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

101318336 is a wasteful number, since it uses less digits than its factorization.

101318336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 101318336 is about 10065.7009691328. The cubic root of 101318336 is about 466.1897095169.

The spelling of 101318336 in words is "one hundred one million, three hundred eighteen thousand, three hundred thirty-six".