120013010133133 has 16 divisors (see below), whose sum is σ = 132397695202752. Its totient is φ = 108078766128000.

The previous prime is 120013010133113. The next prime is 120013010133161. The reversal of 120013010133133 is 331331010310021.

It is a cyclic number.

It is not a de Polignac number, because 120013010133133 - 2⁵ = 120013010133101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013010133113) 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, 169124478 + ... + 169832608.

It is an arithmetic number, because the mean of its divisors is an integer number (8274855950172).

Almost surely, 2^{120013010133133} is an apocalyptic number.

120013010133133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120013010133133 is a deficient number, since it is larger than the sum of its proper divisors (12384685069619).

120013010133133 is a wasteful number, since it uses less digits than its factorization.

120013010133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026156.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 120013010133133 its reverse (331331010310021), we get a palindrome (451344020443154).

The spelling of 120013010133133 in words is "one hundred twenty trillion, thirteen billion, ten million, one hundred thirty-three thousand, one hundred thirty-three".