101032313216 has 64 divisors (see below), whose sum is σ = 214007832000. Its totient is φ = 47345442816.

The previous prime is 101032313203. The next prime is 101032313237. The reversal of 101032313216 is 612313230101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101032313191 and 101032313200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422930 + ... + 617198.

It is an arithmetic number, because the mean of its divisors is an integer number (3343872375).

Almost surely, 2^101032313216 is an apocalyptic number.

101032313216 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 101032313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107003916000).

101032313216 is an abundant number, since it is smaller than the sum of its proper divisors (112975518784).

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

101032313216 is a wasteful number, since it uses less digits than its factorization.

101032313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194539 (or 194527 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101032313216 its reverse (612313230101), we get a palindrome (713345543317).

The spelling of 101032313216 in words is "one hundred one billion, thirty-two million, three hundred thirteen thousand, two hundred sixteen".