1012001331312 has 30 divisors (see below), whose sum is σ = 2832198170672. Its totient is φ = 337333777056.

The previous prime is 1012001331301. The next prime is 1012001331317. The reversal of 1012001331312 is 2131331002101.

1012001331312 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 0 + 1 + 331 + 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 not an unprimeable number, because it can be changed into a prime (1012001331317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3513893368 + ... + 3513893655.

Almost surely, 2^{1012001331312} is an apocalyptic number.

1012001331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012001331312 is an abundant number, since it is smaller than the sum of its proper divisors (1820196839360).

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

1012001331312 is a wasteful number, since it uses less digits than its factorization.

1012001331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027787037 (or 7027787028 counting only the distinct ones).

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

Adding to 1012001331312 its reverse (2131331002101), we get a palindrome (3143332333413).

The spelling of 1012001331312 in words is "one trillion, twelve billion, one million, three hundred thirty-one thousand, three hundred twelve".