1321131123312 has 320 divisors, whose sum is σ = 4706239448064. Its totient is φ = 308193361920.

The previous prime is 1321131123307. The next prime is 1321131123337. The reversal of 1321131123312 is 2133211311231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406208 + ... + 2149344.

Almost surely, 2^{1321131123312} is an apocalyptic number.

1321131123312 is a gapful number since it is divisible by the number (12) 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 1321131123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353119724032).

1321131123312 is an abundant number, since it is smaller than the sum of its proper divisors (3385108324752).

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

1321131123312 is a wasteful number, since it uses less digits than its factorization.

1321131123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743216 (or 743210 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1321131123312 its reverse (2133211311231), we get a palindrome (3454342434543).

The spelling of 1321131123312 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred twelve".