1131033111012 has 216 divisors, whose sum is σ = 3343361767200. Its totient is φ = 321447168000.

The previous prime is 1131033111001. The next prime is 1131033111023. The reversal of 1131033111012 is 2101113301311.

1131033111012 is a `hidden beast` number, since 1 + 1 + 310 + 331 + 1 + 10 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1131033111001) and next prime (1131033111023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 538842739 + ... + 538844837.

It is an arithmetic number, because the mean of its divisors is an integer number (15478526700).

Almost surely, 2^{1131033111012} is an apocalyptic number.

1131033111012 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 1131033111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671680883600).

1131033111012 is an abundant number, since it is smaller than the sum of its proper divisors (2212328656188).

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

1131033111012 is a wasteful number, since it uses less digits than its factorization.

1131033111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131033111012 its reverse (2101113301311), we get a palindrome (3232146412323).

The spelling of 1131033111012 in words is "one trillion, one hundred thirty-one billion, thirty-three million, one hundred eleven thousand, twelve".