1011312331200 has 378 divisors, whose sum is σ = 3793600412784. Its totient is φ = 255488117760.

The previous prime is 1011312331157. The next prime is 1011312331241. The reversal of 1011312331200 is 21332131101.

1011312331200 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 312 + 331 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5101129 + ... + 5295671.

It is an arithmetic number, because the mean of its divisors is an integer number (10035979928).

Almost surely, 2^{1011312331200} is an apocalyptic number.

1011312331200 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 1011312331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896800206392).

1011312331200 is an abundant number, since it is smaller than the sum of its proper divisors (2782288081584).

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

1011312331200 is a wasteful number, since it uses less digits than its factorization.

1011312331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194609 (or 194572 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011312331200 its reverse (21332131101), we get a palindrome (1032644462301).

The spelling of 1011312331200 in words is "one trillion, eleven billion, three hundred twelve million, three hundred thirty-one thousand, two hundred".