101613312 has 144 divisors (see below), whose sum is σ = 306681760. Its totient is φ = 33177600.

The previous prime is 101613289. The next prime is 101613313. The reversal of 101613312 is 213316101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×101613312⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101613313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421512 + ... + 421752.

Almost surely, 2^101613312 is an apocalyptic number.

101613312 is a gapful number since it is divisible by the number (12) 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 101613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153340880).

101613312 is an abundant number, since it is smaller than the sum of its proper divisors (205068448).

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

101613312 is an equidigital number, since it uses as much as digits as its factorization.

101613312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101613312 is about 10080.3428513122. The cubic root of 101613312 is about 466.6416893661.

Adding to 101613312 its reverse (213316101), we get a palindrome (314929413).

The spelling of 101613312 in words is "one hundred one million, six hundred thirteen thousand, three hundred twelve".