120010301312013 has 40 divisors (see below), whose sum is σ = 211494515217920. Its totient is φ = 66365143572960.

The previous prime is 120010301312003. The next prime is 120010301312023. The reversal of 120010301312013 is 310213103010021.

120010301312013 is a `hidden beast` number, since 120 + 0 + 10 + 301 + 31 + 201 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (120010301312003) and next prime (120010301312023).

It is not a de Polignac number, because 120010301312013 - 2¹³ = 120010301303821 is a prime.

It is a super-2 number, since 2×120010301312013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010301312003) 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 39 ways as a sum of consecutive naturals, for example, 3413827258 + ... + 3413862411.

It is an arithmetic number, because the mean of its divisors is an integer number (5287362880448).

Almost surely, 2^{120010301312013} is an apocalyptic number.

It is an amenable number.

120010301312013 is a deficient number, since it is larger than the sum of its proper divisors (91484213905907).

120010301312013 is an equidigital number, since it uses as much as digits as its factorization.

120010301312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827689719 (or 6827689710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120010301312013 its reverse (310213103010021), we get a palindrome (430223404322034).

The spelling of 120010301312013 in words is "one hundred twenty trillion, ten billion, three hundred one million, three hundred twelve thousand, thirteen".