201431331200 has 192 divisors, whose sum is σ = 545226822000. Its totient is φ = 72924979200.

The previous prime is 201431331197. The next prime is 201431331203. The reversal of 201431331200 is 2133134102.

It is an interprime number because it is at equal distance from previous prime (201431331197) and next prime (201431331203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201431331203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8048306 + ... + 8073294.

Almost surely, 2^201431331200 is an apocalyptic number.

201431331200 is a gapful number since it is divisible by the number (20) 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 201431331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272613411000).

201431331200 is an abundant number, since it is smaller than the sum of its proper divisors (343795490800).

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

201431331200 is a wasteful number, since it uses less digits than its factorization.

201431331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25253 (or 25236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201431331200 its reverse (2133134102), we get a palindrome (203564465302).

The spelling of 201431331200 in words is "two hundred one billion, four hundred thirty-one million, three hundred thirty-one thousand, two hundred".