1133105323410 has 128 divisors (see below), whose sum is σ = 3070835712000. Its totient is φ = 300984201216.

The previous prime is 1133105323381. The next prime is 1133105323417. The reversal of 1133105323410 is 143235013311.

1133105323410 is a `hidden beast` number, since 1 + 1 + 3 + 310 + 5 + 3 + 2 + 341 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1133105323417) 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, 5519791 + ... + 5721389.

It is an arithmetic number, because the mean of its divisors is an integer number (23990904000).

Almost surely, 2^{1133105323410} is an apocalyptic number.

1133105323410 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 1133105323410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535417856000).

1133105323410 is an abundant number, since it is smaller than the sum of its proper divisors (1937730388590).

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

1133105323410 is an equidigital number, since it uses as much as digits as its factorization.

1133105323410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201884 (or 201866 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1133105323410 in words is "one trillion, one hundred thirty-three billion, one hundred five million, three hundred twenty-three thousand, four hundred ten".