1131101010312 has 256 divisors, whose sum is σ = 3647332416000. Its totient is φ = 290248842240.

The previous prime is 1131101010307. The next prime is 1131101010313. The reversal of 1131101010312 is 2130101011311.

It is a junction number, because it is equal to n+sod(n) for n = 1131101010291 and 1131101010300.

It is not an unprimeable number, because it can be changed into a prime (1131101010313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3816762 + ... + 4102422.

It is an arithmetic number, because the mean of its divisors is an integer number (14247392250).

Almost surely, 2^{1131101010312} is an apocalyptic number.

1131101010312 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 1131101010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823666208000).

1131101010312 is an abundant number, since it is smaller than the sum of its proper divisors (2516231405688).

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

1131101010312 is a wasteful number, since it uses less digits than its factorization.

1131101010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285741 (or 285723 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1131101010312 its reverse (2130101011311), we get a palindrome (3261202021623).

Subtracting 1131101010312 from its reverse (2130101011311), we obtain a palindrome (999000000999).

The spelling of 1131101010312 in words is "one trillion, one hundred thirty-one billion, one hundred one million, ten thousand, three hundred twelve".