101023312 has 20 divisors (see below), whose sum is σ = 210789460. Its totient is φ = 46626048.

The previous prime is 101023289. The next prime is 101023319. The reversal of 101023312 is 213320101.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 88661056 = 3516^2 + 9416^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101023292 and 101023301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242637 + ... + 243052.

It is an arithmetic number, because the mean of its divisors is an integer number (10539473).

Almost surely, 2^101023312 is an apocalyptic number.

It is an amenable number.

101023312 is an abundant number, since it is smaller than the sum of its proper divisors (109766148).

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

101023312 is a wasteful number, since it uses less digits than its factorization.

101023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485710 (or 485704 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101023312 is about 10051.0353695527. The cubic root of 101023312 is about 465.7367777949.

Adding to 101023312 its reverse (213320101), we get a palindrome (314343413).

The spelling of 101023312 in words is "one hundred one million, twenty-three thousand, three hundred twelve".