101513216 has 96 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 42467328.

The previous prime is 101513197. The next prime is 101513249. The reversal of 101513216 is 612315101.

It is a zygodrome in base 2.

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, 1046480 + ... + 1046576.

It is an arithmetic number, because the mean of its divisors is an integer number (2474745).

Almost surely, 2^101513216 is an apocalyptic number.

101513216 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 101513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787760).

101513216 is an abundant number, since it is smaller than the sum of its proper divisors (136062304).

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

101513216 is an frugal number, since it uses more digits than its factorization.

101513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 101513216 is about 10075.3767175228. The cubic root of 101513216 is about 466.4884144615.

Adding to 101513216 its reverse (612315101), we get a palindrome (713828317).

The spelling of 101513216 in words is "one hundred one million, five hundred thirteen thousand, two hundred sixteen".