101003312 has 40 divisors (see below), whose sum is σ = 200195520. Its totient is φ = 49351680.

The previous prime is 101003299. The next prime is 101003323. The reversal of 101003312 is 213300101.

It is a junction number, because it is equal to n+sod(n) for n = 101003293 and 101003302.

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, 233048 + ... + 233480.

It is an arithmetic number, because the mean of its divisors is an integer number (5004888).

Almost surely, 2^101003312 is an apocalyptic number.

It is an amenable number.

101003312 is a deficient number, since it is larger than the sum of its proper divisors (99192208).

101003312 is a wasteful number, since it uses less digits than its factorization.

101003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 101003312 is about 10050.0403979288. The cubic root of 101003312 is about 465.7060411589.

Adding to 101003312 its reverse (213300101), we get a palindrome (314303413).

The spelling of 101003312 in words is "one hundred one million, three thousand, three hundred twelve".