1031313312 has 288 divisors, whose sum is σ = 3274689600. Its totient is φ = 306561024.

The previous prime is 1031313259. The next prime is 1031313317. The reversal of 1031313312 is 2133131301.

It is a happy number.

1031313312 is a `hidden beast` number, since 10 + 31 + 313 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1031313317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10632048 + ... + 10632144.

It is an arithmetic number, because the mean of its divisors is an integer number (11370450).

Almost surely, 2^1031313312 is an apocalyptic number.

1031313312 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 1031313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637344800).

1031313312 is an abundant number, since it is smaller than the sum of its proper divisors (2243376288).

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

1031313312 is a wasteful number, since it uses less digits than its factorization.

1031313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1031313312 is about 32114.0671980364. The cubic root of 1031313312 is about 1010.3306802062.

Adding to 1031313312 its reverse (2133131301), we get a palindrome (3164444613).

The spelling of 1031313312 in words is "one billion, thirty-one million, three hundred thirteen thousand, three hundred twelve".