1021311200 has 144 divisors (see below), whose sum is σ = 3068866080. Its totient is φ = 323205120.

The previous prime is 1021311191. The next prime is 1021311211. The reversal of 1021311200 is 21131201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65786 + ... + 79814.

It is an arithmetic number, because the mean of its divisors is an integer number (21311570).

Almost surely, 2^1021311200 is an apocalyptic number.

1021311200 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 1021311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534433040).

1021311200 is an abundant number, since it is smaller than the sum of its proper divisors (2047554880).

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

1021311200 is a wasteful number, since it uses less digits than its factorization.

1021311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14069 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1021311200 is about 31957.9598848237. The cubic root of 1021311200 is about 1007.0538594080.

Adding to 1021311200 its reverse (21131201), we get a palindrome (1042442401).

The spelling of 1021311200 in words is "one billion, twenty-one million, three hundred eleven thousand, two hundred".