1131031032012 has 144 divisors (see below), whose sum is σ = 3348438912000. Its totient is φ = 315145393920.

The previous prime is 1131031032011. The next prime is 1131031032017. The reversal of 1131031032012 is 2102301301311.

1131031032012 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 310 + 320 + 1 + 2 = 666.

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 (1131031032011) 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, 27865789 + ... + 27906347.

It is an arithmetic number, because the mean of its divisors is an integer number (23253048000).

Almost surely, 2^{1131031032012} is an apocalyptic number.

1131031032012 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 1131031032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674219456000).

1131031032012 is an abundant number, since it is smaller than the sum of its proper divisors (2217407879988).

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

1131031032012 is a wasteful number, since it uses less digits than its factorization.

1131031032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43316 (or 43311 counting only the distinct ones).

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

Adding to 1131031032012 its reverse (2102301301311), we get a palindrome (3233332333323).

The spelling of 1131031032012 in words is "one trillion, one hundred thirty-one billion, thirty-one million, thirty-two thousand, twelve".