120020031313 has 32 divisors (see below), whose sum is σ = 154390118400. Its totient is φ = 90684449856.

The previous prime is 120020031283. The next prime is 120020031319. The reversal of 120020031313 is 313130020021.

It is not a de Polignac number, because 120020031313 - 2¹⁷ = 120019900241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120020031319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249248 + ... + 1341886.

It is an arithmetic number, because the mean of its divisors is an integer number (4824691200).

Almost surely, 2^120020031313 is an apocalyptic number.

120020031313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120020031313 is a deficient number, since it is larger than the sum of its proper divisors (34370087087).

120020031313 is a wasteful number, since it uses less digits than its factorization.

120020031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93301.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120020031313 its reverse (313130020021), we get a palindrome (433150051334).

The spelling of 120020031313 in words is "one hundred twenty billion, twenty million, thirty-one thousand, three hundred thirteen".