1031224314312 has 48 divisors (see below), whose sum is σ = 2813285336940. Its totient is φ = 341232373248.

The previous prime is 1031224314293. The next prime is 1031224314313. The reversal of 1031224314312 is 2134134221301.

1031224314312 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 224 + 3 + 1 + 431 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 997869136356 + 33355177956 = 998934^2 + 182634^2 .

It is not an unprimeable number, because it can be changed into a prime (1031224314313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52262253 + ... + 52281980.

Almost surely, 2^{1031224314312} is an apocalyptic number.

1031224314312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031224314312 is an abundant number, since it is smaller than the sum of its proper divisors (1782061022628).

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

1031224314312 is a wasteful number, since it uses less digits than its factorization.

1031224314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104544382 (or 104544375 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1031224314312 its reverse (2134134221301), we get a palindrome (3165358535613).

It can be divided in two parts, 10312 and 24314312, that added together give a square (24324624 = 4932²).

The spelling of 1031224314312 in words is "one trillion, thirty-one billion, two hundred twenty-four million, three hundred fourteen thousand, three hundred twelve".