31133200032200 has 384 divisors, whose sum is σ = 86355660384000. Its totient is φ = 10212909772800.

The previous prime is 31133200032157. The next prime is 31133200032257. The reversal of 31133200032200 is 223000233113.

It is a super-2 number, since 2×31133200032200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2129340890 + ... + 2129355510.

It is an arithmetic number, because the mean of its divisors is an integer number (224884532250).

Almost surely, 2^{31133200032200} 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 31133200032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43177830192000).

31133200032200 is an abundant number, since it is smaller than the sum of its proper divisors (55222460351800).

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

31133200032200 is a wasteful number, since it uses less digits than its factorization.

31133200032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145 (or 15136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31133200032200 its reverse (223000233113), we get a palindrome (31356200265313).

The spelling of 31133200032200 in words is "thirty-one trillion, one hundred thirty-three billion, two hundred million, thirty-two thousand, two hundred".