1131130221312 has 288 divisors, whose sum is σ = 3791353527808. Its totient is φ = 291381608448.

The previous prime is 1131130221311. The next prime is 1131130221329. The reversal of 1131130221312 is 2131220311311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1131130221311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2816988 + ... + 3193380.

Almost surely, 2^{1131130221312} is an apocalyptic number.

1131130221312 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 1131130221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895676763904).

1131130221312 is an abundant number, since it is smaller than the sum of its proper divisors (2660223306496).

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

1131130221312 is a wasteful number, since it uses less digits than its factorization.

1131130221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376475 (or 376461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1131130221312 its reverse (2131220311311), we get a palindrome (3262350532623).

The spelling of 1131130221312 in words is "one trillion, one hundred thirty-one billion, one hundred thirty million, two hundred twenty-one thousand, three hundred twelve".