120101314000213 has 32 divisors (see below), whose sum is σ = 152917024296960. Its totient is φ = 91746753235200.

The previous prime is 120101314000193. The next prime is 120101314000231. The reversal of 120101314000213 is 312000413101021.

It is a de Polignac number, because none of the positive numbers 2^k-120101314000213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101314000273) 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 31 ways as a sum of consecutive naturals, for example, 149407263 + ... + 150208963.

It is an arithmetic number, because the mean of its divisors is an integer number (4778657009280).

Almost surely, 2^{120101314000213} is an apocalyptic number.

120101314000213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120101314000213 is a deficient number, since it is larger than the sum of its proper divisors (32815710296747).

120101314000213 is a wasteful number, since it uses less digits than its factorization.

120101314000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858517.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 120101314000213 its reverse (312000413101021), we get a palindrome (432101727101234).

The spelling of 120101314000213 in words is "one hundred twenty trillion, one hundred one billion, three hundred fourteen million, two hundred thirteen", and thus it is an aban number.