32113320111312 has 320 divisors, whose sum is σ = 96419588751360. Its totient is φ = 9120419942400.

The previous prime is 32113320111311. The next prime is 32113320111337. The reversal of 32113320111312 is 21311102331123.

It is a super-2 number, since 2×32113320111312² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113320111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63023353 + ... + 63530855.

It is an arithmetic number, because the mean of its divisors is an integer number (301311214848).

Almost surely, 2^{32113320111312} 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 32113320111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48209794375680).

32113320111312 is an abundant number, since it is smaller than the sum of its proper divisors (64306268640048).

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

32113320111312 is a wasteful number, since it uses less digits than its factorization.

32113320111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507682 (or 507676 counting only the distinct ones).

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

Adding to 32113320111312 its reverse (21311102331123), we get a palindrome (53424422442435).

The spelling of 32113320111312 in words is "thirty-two trillion, one hundred thirteen billion, three hundred twenty million, one hundred eleven thousand, three hundred twelve".