1133100301300 has 216 divisors, whose sum is σ = 2870851925592. Its totient is φ = 386553446400.

The previous prime is 1133100301253. The next prime is 1133100301301. The reversal of 1133100301300 is 31030013311.

It can be written as a sum of positive squares in 12 ways, for example, as 727206439696 + 405893861604 = 852764^2 + 637098^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133100301301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65198212 + ... + 65215588.

It is an arithmetic number, because the mean of its divisors is an integer number (13290981137).

Almost surely, 2^{1133100301300} is an apocalyptic number.

1133100301300 is a gapful number since it is divisible by the number (10) 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 1133100301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435425962796).

1133100301300 is an abundant number, since it is smaller than the sum of its proper divisors (1737751624292).

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

1133100301300 is a wasteful number, since it uses less digits than its factorization.

1133100301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17747 (or 17729 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1133100301300 its reverse (31030013311), we get a palindrome (1164130314611).

The spelling of 1133100301300 in words is "one trillion, one hundred thirty-three billion, one hundred million, three hundred one thousand, three hundred".