101318686920 has 768 divisors, whose sum is σ = 400238496000. Its totient is φ = 22696058880.

The previous prime is 101318686913. The next prime is 101318686933. The reversal of 101318686920 is 29686813101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131071654 + ... + 131072426.

It is an arithmetic number, because the mean of its divisors is an integer number (521143875).

Almost surely, 2^101318686920 is an apocalyptic number.

101318686920 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 101318686920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200119248000).

101318686920 is an abundant number, since it is smaller than the sum of its proper divisors (298919809080).

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

101318686920 is a wasteful number, since it uses less digits than its factorization.

101318686920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 101318686920 in words is "one hundred one billion, three hundred eighteen million, six hundred eighty-six thousand, nine hundred twenty".