101313648 has 60 divisors (see below), whose sum is σ = 287796808. Its totient is φ = 33264000.

The previous prime is 101313637. The next prime is 101313661. The reversal of 101313648 is 846313101.

101313648 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 13 + 648 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4398 + ... + 14898.

Almost surely, 2^101313648 is an apocalyptic number.

101313648 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 101313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143898404).

101313648 is an abundant number, since it is smaller than the sum of its proper divisors (186483160).

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

101313648 is a wasteful number, since it uses less digits than its factorization.

101313648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10582 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101313648 is about 10065.4680964176. The cubic root of 101313648 is about 466.1825192058.

Adding to 101313648 its reverse (846313101), we get a palindrome (947626749).

The spelling of 101313648 in words is "one hundred one million, three hundred thirteen thousand, six hundred forty-eight".