31031220011121 has 48 divisors (see below), whose sum is σ = 50639336766720. Its totient is φ = 18138355872000.

The previous prime is 31031220011053. The next prime is 31031220011159. The reversal of 31031220011121 is 12111002213013.

31031220011121 is a `hidden beast` number, since 31 + 0 + 312 + 200 + 1 + 1 + 121 = 666.

It is not a de Polignac number, because 31031220011121 - 2¹¹ = 31031220009073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31031220011094 and 31031220011103.

It is not an unprimeable number, because it can be changed into a prime (31031220018121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3316740 + ... + 8547701.

It is an arithmetic number, because the mean of its divisors is an integer number (1054986182640).

Almost surely, 2^{31031220011121} is an apocalyptic number.

It is an amenable number.

31031220011121 is a deficient number, since it is larger than the sum of its proper divisors (19608116755599).

31031220011121 is a wasteful number, since it uses less digits than its factorization.

31031220011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865398 (or 11865395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31031220011121 its reverse (12111002213013), we get a palindrome (43142222224134).

The spelling of 31031220011121 in words is "thirty-one trillion, thirty-one billion, two hundred twenty million, eleven thousand, one hundred twenty-one".