120130314023313 has 48 divisors (see below), whose sum is σ = 189959002414272. Its totient is φ = 72551706480000.

The previous prime is 120130314023299. The next prime is 120130314023323. The reversal of 120130314023313 is 313320413031021.

120130314023313 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 30 + 314 + 0 + 2 + 3 + 313 = 666.

It is not a de Polignac number, because 120130314023313 - 2¹² = 120130314019217 is a prime.

It is a super-2 number, since 2×120130314023313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120130314023323) 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 47 ways as a sum of consecutive naturals, for example, 38631538 + ... + 41625188.

It is an arithmetic number, because the mean of its divisors is an integer number (3957479216964).

Almost surely, 2^{120130314023313} is an apocalyptic number.

It is an amenable number.

120130314023313 is a deficient number, since it is larger than the sum of its proper divisors (69828688390959).

120130314023313 is a wasteful number, since it uses less digits than its factorization.

120130314023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995086 (or 2995083 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 120130314023313 its reverse (313320413031021), we get a palindrome (433450727054334).

The spelling of 120130314023313 in words is "one hundred twenty trillion, one hundred thirty billion, three hundred fourteen million, twenty-three thousand, three hundred thirteen".