1331142200 has 48 divisors (see below), whose sum is σ = 3105002160. Its totient is φ = 530720000.

The previous prime is 1331142157. The next prime is 1331142209. The reversal of 1331142200 is 22411331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331142209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51500 + ... + 72900.

It is an arithmetic number, because the mean of its divisors is an integer number (64687545).

Almost surely, 2^1331142200 is an apocalyptic number.

1331142200 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 1331142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552501080).

1331142200 is an abundant number, since it is smaller than the sum of its proper divisors (1773859960).

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

1331142200 is a wasteful number, since it uses less digits than its factorization.

1331142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21728 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1331142200 is about 36484.8215015505. The cubic root of 1331142200 is about 1100.0391721587.

Adding to 1331142200 its reverse (22411331), we get a palindrome (1353553531).

The spelling of 1331142200 in words is "one billion, three hundred thirty-one million, one hundred forty-two thousand, two hundred".