1131011211330 has 768 divisors, whose sum is σ = 4058357022720. Its totient is φ = 210934886400.

The previous prime is 1131011211311. The next prime is 1131011211367. The reversal of 1131011211330 is 331121101311.

1131011211330 is a `hidden beast` number, since 1 + 1 + 310 + 1 + 1 + 21 + 1 + 330 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1088556951 + ... + 1088557989.

It is an arithmetic number, because the mean of its divisors is an integer number (5284319040).

Almost surely, 2^{1131011211330} is an apocalyptic number.

1131011211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131011211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029178511360).

1131011211330 is an abundant number, since it is smaller than the sum of its proper divisors (2927345811390).

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

1131011211330 is a wasteful number, since it uses less digits than its factorization.

1131011211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1404 counting only the distinct ones).

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

Adding to 1131011211330 its reverse (331121101311), we get a palindrome (1462132312641).

It can be divided in two parts, 1131011 and 211330, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 1131011211330 in words is "one trillion, one hundred thirty-one billion, eleven million, two hundred eleven thousand, three hundred thirty".