31120100121033 has 64 divisors (see below), whose sum is σ = 57598158090240. Its totient is φ = 16133089593600.

The previous prime is 31120100121001. The next prime is 31120100121059. The reversal of 31120100121033 is 33012100102113.

31120100121033 is a `hidden beast` number, since 311 + 201 + 0 + 0 + 121 + 0 + 33 = 666.

It is not a de Polignac number, because 31120100121033 - 2⁵ = 31120100121001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31120100120997 and 31120100121015.

It is not an unprimeable number, because it can be changed into a prime (31120100121233) 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, 14355888 + ... + 16380833.

It is an arithmetic number, because the mean of its divisors is an integer number (899971220160).

Almost surely, 2^{31120100121033} is an apocalyptic number.

31120100121033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31120100121033 is a deficient number, since it is larger than the sum of its proper divisors (26478057969207).

31120100121033 is a wasteful number, since it uses less digits than its factorization.

31120100121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30737235 (or 30737229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31120100121033 its reverse (33012100102113), we get a palindrome (64132200223146).

The spelling of 31120100121033 in words is "thirty-one trillion, one hundred twenty billion, one hundred million, one hundred twenty-one thousand, thirty-three".