312120220113 has 24 divisors (see below), whose sum is σ = 486067877568. Its totient is φ = 191857374432.

The previous prime is 312120220091. The next prime is 312120220117. The reversal of 312120220113 is 311022021213.

312120220113 is a `hidden beast` number, since 312 + 1 + 20 + 220 + 113 = 666.

It is not a de Polignac number, because 312120220113 - 2¹² = 312120216017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312120220117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399995 + ... + 1607552.

It is an arithmetic number, because the mean of its divisors is an integer number (20252828232).

Almost surely, 2^312120220113 is an apocalyptic number.

It is an amenable number.

312120220113 is a deficient number, since it is larger than the sum of its proper divisors (173947657455).

312120220113 is a wasteful number, since it uses less digits than its factorization.

312120220113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008453 (or 3008450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312120220113 its reverse (311022021213), we get a palindrome (623142241326).

The spelling of 312120220113 in words is "three hundred twelve billion, one hundred twenty million, two hundred twenty thousand, one hundred thirteen".