1031012031312 has 120 divisors (see below), whose sum is σ = 2953004861664. Its totient is φ = 335621405952.

The previous prime is 1031012031293. The next prime is 1031012031323. The reversal of 1031012031312 is 2131302101301.

1031012031312 is a `hidden beast` number, since 1 + 0 + 310 + 12 + 0 + 31 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51922378 + ... + 51942230.

Almost surely, 2^{1031012031312} is an apocalyptic number.

1031012031312 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 1031012031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476502430832).

1031012031312 is an abundant number, since it is smaller than the sum of its proper divisors (1921992830352).

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

1031012031312 is a wasteful number, since it uses less digits than its factorization.

1031012031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28297 (or 28288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031012031312 its reverse (2131302101301), we get a palindrome (3162314132613).

The spelling of 1031012031312 in words is "one trillion, thirty-one billion, twelve million, thirty-one thousand, three hundred twelve".