101413312 has 112 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 36449280.

The previous prime is 101413309. The next prime is 101413339. The reversal of 101413312 is 213314101.

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 (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63273 + ... + 64855.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^101413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

101413312 is an abundant number, since it is smaller than the sum of its proper divisors (168956480).

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

101413312 is a wasteful number, since it uses less digits than its factorization.

101413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101413312 is about 10070.4176676045. The cubic root of 101413312 is about 466.3353330626.

Adding to 101413312 its reverse (213314101), we get a palindrome (314727413).

The spelling of 101413312 in words is "one hundred one million, four hundred thirteen thousand, three hundred twelve".