1133331120300 has 144 divisors (see below), whose sum is σ = 3422212964352. Its totient is φ = 289036070400.

The previous prime is 1133331120281. The next prime is 1133331120319. The reversal of 1133331120300 is 30211333311.

It is an interprime number because it is at equal distance from previous prime (1133331120281) and next prime (1133331120319).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77666005 + ... + 77680595.

It is an arithmetic number, because the mean of its divisors is an integer number (23765367808).

Almost surely, 2^{1133331120300} is an apocalyptic number.

1133331120300 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 1133331120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711106482176).

1133331120300 is an abundant number, since it is smaller than the sum of its proper divisors (2288881844052).

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

1133331120300 is a wasteful number, since it uses less digits than its factorization.

1133331120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25888 (or 25881 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1133331120300 its reverse (30211333311), we get a palindrome (1163542453611).

The spelling of 1133331120300 in words is "one trillion, one hundred thirty-three billion, three hundred thirty-one million, one hundred twenty thousand, three hundred".