101304312 has 32 divisors (see below), whose sum is σ = 255091200. Its totient is φ = 33524064.

The previous prime is 101304277. The next prime is 101304319. The reversal of 101304312 is 213403101.

It is a junction number, because it is equal to n+sod(n) for n = 101304291 and 101304300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101304319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11848 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^101304312 is an apocalyptic number.

101304312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101304312 is an abundant number, since it is smaller than the sum of its proper divisors (153786888).

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

101304312 is a wasteful number, since it uses less digits than its factorization.

101304312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30515 (or 30511 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101304312 is about 10065.0043219067. The cubic root of 101304312 is about 466.1681992737.

Adding to 101304312 its reverse (213403101), we get a palindrome (314707413).

The spelling of 101304312 in words is "one hundred one million, three hundred four thousand, three hundred twelve".