120130011023313 has 16 divisors (see below), whose sum is σ = 160881028761600. Its totient is φ = 79732842735696.

The previous prime is 120130011023257. The next prime is 120130011023329. The reversal of 120130011023313 is 313320110031021.

It is a happy number.

It is not a de Polignac number, because 120130011023313 - 2¹⁶ = 120130010957777 is a prime.

It is a super-2 number, since 2×120130011023313² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120130011023313.

It is not an unprimeable number, because it can be changed into a prime (120130011024313) 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 in 15 ways as a sum of consecutive naturals, for example, 53743588 + ... + 55934186.

It is an arithmetic number, because the mean of its divisors is an integer number (10055064297600).

Almost surely, 2^{120130011023313} is an apocalyptic number.

It is an amenable number.

120130011023313 is a deficient number, since it is larger than the sum of its proper divisors (40751017738287).

120130011023313 is a wasteful number, since it uses less digits than its factorization.

120130011023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271356.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 120130011023313 its reverse (313320110031021), we get a palindrome (433450121054334).

The spelling of 120130011023313 in words is "one hundred twenty trillion, one hundred thirty billion, eleven million, twenty-three thousand, three hundred thirteen".