31033233121332 has 192 divisors, whose sum is σ = 81665642240000. Its totient is φ = 9106654003200.

The previous prime is 31033233121271. The next prime is 31033233121333. The reversal of 31033233121332 is 23312133233013.

It is a self number, because there is not a number n which added to its sum of digits gives 31033233121332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033233121333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440896782 + ... + 440967162.

Almost surely, 2^{31033233121332} 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 31033233121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40832821120000).

31033233121332 is an abundant number, since it is smaller than the sum of its proper divisors (50632409118668).

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

31033233121332 is a wasteful number, since it uses less digits than its factorization.

31033233121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71754 (or 71752 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 31033233121332 its reverse (23312133233013), we get a palindrome (54345366354345).

The spelling of 31033233121332 in words is "thirty-one trillion, thirty-three billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty-two".