120401013213 has 12 divisors (see below), whose sum is σ = 187290465180. Its totient is φ = 74092931136.

The previous prime is 120401013199. The next prime is 120401013221. The reversal of 120401013213 is 312310104021.

120401013213 is a `hidden beast` number, since 120 + 401 + 0 + 132 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29750040324 + 90650972889 = 172482^2 + 301083^2 .

It is not a de Polignac number, because 120401013213 - 2¹⁸ = 120400751069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401013263) 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 11 ways as a sum of consecutive naturals, for example, 514534128 + ... + 514534361.

It is an arithmetic number, because the mean of its divisors is an integer number (15607538765).

Almost surely, 2^120401013213 is an apocalyptic number.

120401013213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120401013213 is a deficient number, since it is larger than the sum of its proper divisors (66889451967).

120401013213 is a wasteful number, since it uses less digits than its factorization.

120401013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029068508 (or 1029068505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120401013213 its reverse (312310104021), we get a palindrome (432711117234).

The spelling of 120401013213 in words is "one hundred twenty billion, four hundred one million, thirteen thousand, two hundred thirteen".