1131313011030 has 128 divisors (see below), whose sum is σ = 3080191795200. Its totient is φ = 295371603072.

The previous prime is 1131313011013. The next prime is 1131313011061. The reversal of 1131313011030 is 301103131311.

1131313011030 is a `hidden beast` number, since 11 + 313 + 1 + 301 + 10 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131313010994 and 1131313011012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6771967 + ... + 6937013.

It is an arithmetic number, because the mean of its divisors is an integer number (24063998400).

Almost surely, 2^{1131313011030} is an apocalyptic number.

1131313011030 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 1131313011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540095897600).

1131313011030 is an abundant number, since it is smaller than the sum of its proper divisors (1948878784170).

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

1131313011030 is a wasteful number, since it uses less digits than its factorization.

1131313011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165595 (or 165589 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1131313011030 its reverse (301103131311), we get a palindrome (1432416142341).

The spelling of 1131313011030 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, eleven thousand, thirty".