31221102311344 has 240 divisors, whose sum is σ = 72306638936064. Its totient is φ = 12913675315200.

The previous prime is 31221102311293. The next prime is 31221102311369. The reversal of 31221102311344 is 44311320112213.

It is a super-2 number, since 2×31221102311344² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436787992 + ... + 436859464.

Almost surely, 2^{31221102311344} 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 31221102311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36153319468032).

31221102311344 is an abundant number, since it is smaller than the sum of its proper divisors (41085536624720).

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

31221102311344 is a wasteful number, since it uses less digits than its factorization.

31221102311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71664 (or 71599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 31221102311344 its reverse (44311320112213), we get a palindrome (75532422423557).

The spelling of 31221102311344 in words is "thirty-one trillion, two hundred twenty-one billion, one hundred two million, three hundred eleven thousand, three hundred forty-four".