1031313333312 has 168 divisors, whose sum is σ = 3087775327104. Its totient is φ = 328485881856.

The previous prime is 1031313333293. The next prime is 1031313333341. The reversal of 1031313333312 is 2133333131301.

1031313333312 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 13 + 333 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12983188 + ... + 13062380.

Almost surely, 2^{1031313333312} is an apocalyptic number.

1031313333312 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 1031313333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543887663552).

1031313333312 is an abundant number, since it is smaller than the sum of its proper divisors (2056461993792).

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

1031313333312 is a wasteful number, since it uses less digits than its factorization.

1031313333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80217 (or 80204 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1031313333312 its reverse (2133333131301), we get a palindrome (3164646464613).

The spelling of 1031313333312 in words is "one trillion, thirty-one billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred twelve".