1021131221312 has 56 divisors (see below), whose sum is σ = 2047597586280. Its totient is φ = 505207193600.

The previous prime is 1021131221311. The next prime is 1021131221323. The reversal of 1021131221312 is 2131221311201.

It can be written as a sum of positive squares in 4 ways, for example, as 971123527936 + 50007693376 = 985456^2 + 223624^2 .

It is a super-2 number, since 2×1021131221312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021131221311) 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 7 ways as a sum of consecutive naturals, for example, 10922864 + ... + 11015952.

Almost surely, 2^{1021131221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021131221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023798793140).

1021131221312 is an abundant number, since it is smaller than the sum of its proper divisors (1026466364968).

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

1021131221312 is a wasteful number, since it uses less digits than its factorization.

1021131221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94899 (or 94889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1021131221312 its reverse (2131221311201), we get a palindrome (3152352532513).

The spelling of 1021131221312 in words is "one trillion, twenty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".