101301312 has 112 divisors (see below), whose sum is σ = 322519040. Its totient is φ = 27412992.

The previous prime is 101301307. The next prime is 101301323. The reversal of 101301312 is 213103101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23553 + ... + 27519.

Almost surely, 2^101301312 is an apocalyptic number.

101301312 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 101301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161259520).

101301312 is an abundant number, since it is smaller than the sum of its proper divisors (221217728).

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

101301312 is a wasteful number, since it uses less digits than its factorization.

101301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101301312 is about 10064.8552895707. The cubic root of 101301312 is about 466.1635975663.

Adding to 101301312 its reverse (213103101), we get a palindrome (314404413).

The spelling of 101301312 in words is "one hundred one million, three hundred one thousand, three hundred twelve".