120032131313 has 2 divisors, whose sum is σ = 120032131314. Its totient is φ = 120032131312.

The previous prime is 120032131301. The next prime is 120032131333. The reversal of 120032131313 is 313131230021.

It is an a-pointer prime, because the next prime (120032131333) can be obtained adding 120032131313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76525263424 + 43506867889 = 276632^2 + 208583^2 .

It is a cyclic number.

It is not a de Polignac number, because 120032131313 - 2⁸ = 120032131057 is a prime.

It is a super-3 number, since 3×120032131313³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (120032131333) 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 as a sum of consecutive naturals, namely, 60016065656 + 60016065657.

It is an arithmetic number, because the mean of its divisors is an integer number (60016065657).

Almost surely, 2^120032131313 is an apocalyptic number.

It is an amenable number.

120032131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

120032131313 is an equidigital number, since it uses as much as digits as its factorization.

120032131313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120032131313 its reverse (313131230021), we get a palindrome (433163361334).

The spelling of 120032131313 in words is "one hundred twenty billion, thirty-two million, one hundred thirty-one thousand, three hundred thirteen".