10311312 has 80 divisors (see below), whose sum is σ = 29640960. Its totient is φ = 3062400.

The previous prime is 10311307. The next prime is 10311341. The reversal of 10311312 is 21311301.

It is a super-2 number, since 2×10311312² = 212646310322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 30987 + ... + 31317.

It is an arithmetic number, because the mean of its divisors is an integer number (370512).

Almost surely, 2^10311312 is an apocalyptic number.

10311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820480).

10311312 is an abundant number, since it is smaller than the sum of its proper divisors (19329648).

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

10311312 is a wasteful number, since it uses less digits than its factorization.

10311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10311312 is about 3211.1231679897. The cubic root of 10311312 is about 217.6563336342.

Adding to 10311312 its reverse (21311301), we get a palindrome (31622613).

The spelling of 10311312 in words is "ten million, three hundred eleven thousand, three hundred twelve".