101311312 has 10 divisors (see below), whose sum is σ = 196290698. Its totient is φ = 50655648.

The previous prime is 101311307. The next prime is 101311321. The reversal of 101311312 is 213113101.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 29333056 = 8484^2 + 5416^2 .

It is a super-2 number, since 2×101311312² = 20527963878322688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101311292 and 101311301.

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 as a sum of consecutive naturals, namely, 3165963 + ... + 3165994.

Almost surely, 2^101311312 is an apocalyptic number.

It is an amenable number.

101311312 is a deficient number, since it is larger than the sum of its proper divisors (94979386).

101311312 is an equidigital number, since it uses as much as digits as its factorization.

101311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331965 (or 6331959 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 101311312 is about 10065.3520554425. The cubic root of 101311312 is about 466.1789362376.

Adding to 101311312 its reverse (213113101), we get a palindrome (314424413).

The spelling of 101311312 in words is "one hundred one million, three hundred eleven thousand, three hundred twelve".