31233133210000 has 200 divisors, whose sum is σ = 80083132994304. Its totient is φ = 11755941120000.

The previous prime is 31233133209931. The next prime is 31233133210001. The reversal of 31233133210000 is 1233133213.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×31233133210000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31233133210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976294005 + ... + 976325995.

Almost surely, 2^{31233133210000} 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 31233133210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40041566497152).

31233133210000 is an abundant number, since it is smaller than the sum of its proper divisors (48849999784304).

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

31233133210000 is a wasteful number, since it uses less digits than its factorization.

31233133210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37779 (or 37758 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31233133210000 its reverse (1233133213), we get a palindrome (31234366343213).

The spelling of 31233133210000 in words is "thirty-one trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred ten thousand".