1011312333200 has 240 divisors, whose sum is σ = 2645191478160. Its totient is φ = 369336360960.

The previous prime is 1011312333191. The next prime is 1011312333211. The reversal of 1011312333200 is 23332131101.

It can be written as a sum of positive squares in 24 ways, for example, as 830598922384 + 180713410816 = 911372^2 + 425104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 429066422 + ... + 429068778.

It is an arithmetic number, because the mean of its divisors is an integer number (11021631159).

Almost surely, 2^{1011312333200} is an apocalyptic number.

1011312333200 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 1011312333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322595739080).

1011312333200 is an abundant number, since it is smaller than the sum of its proper divisors (1633879144960).

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

1011312333200 is a wasteful number, since it uses less digits than its factorization.

1011312333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1011312333200 its reverse (23332131101), we get a palindrome (1034644464301).

The spelling of 1011312333200 in words is "one trillion, eleven billion, three hundred twelve million, three hundred thirty-three thousand, two hundred".