120313214130213 has 24 divisors (see below), whose sum is σ = 187899521715360. Its totient is φ = 73743925284000.

The previous prime is 120313214130211. The next prime is 120313214130217. The reversal of 120313214130213 is 312031412313021.

120313214130213 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 32 + 1 + 413 + 0 + 213 = 666.

It is not a de Polignac number, because 120313214130213 - 2¹ = 120313214130211 is a prime.

It is a super-2 number, since 2×120313214130213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120313214130211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048413003 + ... + 2048471736.

It is an arithmetic number, because the mean of its divisors is an integer number (7829146738140).

Almost surely, 2^{120313214130213} is an apocalyptic number.

120313214130213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120313214130213 is a deficient number, since it is larger than the sum of its proper divisors (67586307585147).

120313214130213 is a wasteful number, since it uses less digits than its factorization.

120313214130213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096885009 (or 4096885006 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120313214130213 its reverse (312031412313021), we get a palindrome (432344626443234).

The spelling of 120313214130213 in words is "one hundred twenty trillion, three hundred thirteen billion, two hundred fourteen million, one hundred thirty thousand, two hundred thirteen".