1321331321310 has 512 divisors, whose sum is σ = 4404198113280. Its totient is φ = 244763596800.

The previous prime is 1321331321293. The next prime is 1321331321329. The reversal of 1321331321310 is 131231331231.

It is a super-2 number, since 2×1321331321310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 576244524 + ... + 576246816.

It is an arithmetic number, because the mean of its divisors is an integer number (8601949440).

Almost surely, 2^{1321331321310} is an apocalyptic number.

1321331321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321331321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202099056640).

1321331321310 is an abundant number, since it is smaller than the sum of its proper divisors (3082866791970).

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

1321331321310 is a wasteful number, since it uses less digits than its factorization.

1321331321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1321331321310 its reverse (131231331231), we get a palindrome (1452562652541).

The spelling of 1321331321310 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred ten".