31033222133100 has 144 divisors (see below), whose sum is σ = 97994543114496. Its totient is φ = 7519948128000.

The previous prime is 31033222133087. The next prime is 31033222133141. The reversal of 31033222133100 is 133122233013.

31033222133100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31033222133100² (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, 5591682 + ... + 9660918.

Almost surely, 2^{31033222133100} is an apocalyptic number.

31033222133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31033222133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48997271557248).

31033222133100 is an abundant number, since it is smaller than the sum of its proper divisors (66961320981396).

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

31033222133100 is a wasteful number, since it uses less digits than its factorization.

31033222133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071576 (or 4071569 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31033222133100 its reverse (133122233013), we get a palindrome (31166344366113).

The spelling of 31033222133100 in words is "thirty-one trillion, thirty-three billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred".