1131031123200 has 1080 divisors, whose sum is σ = 4586609729856. Its totient is φ = 272719872000.

The previous prime is 1131031123193. The next prime is 1131031123213. The reversal of 1131031123200 is 23211301311.

1131031123200 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 311 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1374277989 + ... + 1374278811.

Almost surely, 2^{1131031123200} is an apocalyptic number.

1131031123200 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 1131031123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293304864928).

1131031123200 is an abundant number, since it is smaller than the sum of its proper divisors (3455578606656).

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

1131031123200 is a wasteful number, since it uses less digits than its factorization.

1131031123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1085 counting only the distinct ones).

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

Adding to 1131031123200 its reverse (23211301311), we get a palindrome (1154242424511).

The spelling of 1131031123200 in words is "one trillion, one hundred thirty-one billion, thirty-one million, one hundred twenty-three thousand, two hundred".