191018131200 has 1296 divisors, whose sum is σ = 786646318080. Its totient is φ = 45287424000.

The previous prime is 191018131127. The next prime is 191018131201. The reversal of 191018131200 is 2131810191.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191018131201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 905299095 + ... + 905299305.

Almost surely, 2^191018131200 is an apocalyptic number.

191018131200 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 191018131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393323159040).

191018131200 is an abundant number, since it is smaller than the sum of its proper divisors (595628186880).

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

191018131200 is a wasteful number, since it uses less digits than its factorization.

191018131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 191018131200 its reverse (2131810191), we get a palindrome (193149941391).

The spelling of 191018131200 in words is "one hundred ninety-one billion, eighteen million, one hundred thirty-one thousand, two hundred".