120013101013 has 8 divisors (see below), whose sum is σ = 129921555456. Its totient is φ = 110201314800.

The previous prime is 120013100927. The next prime is 120013101017. The reversal of 120013101013 is 310101310021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120013101013 - 2²⁵ = 119979546581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120013100984 and 120013101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013101017) 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 7 ways as a sum of consecutive naturals, for example, 24164473 + ... + 24169438.

It is an arithmetic number, because the mean of its divisors is an integer number (16240194432).

Almost surely, 2^120013101013 is an apocalyptic number.

120013101013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120013101013 is a deficient number, since it is larger than the sum of its proper divisors (9908454443).

120013101013 is a wasteful number, since it uses less digits than its factorization.

120013101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48334115.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 120013101013 its reverse (310101310021), we get a palindrome (430114411034).

The spelling of 120013101013 in words is "one hundred twenty billion, thirteen million, one hundred one thousand, thirteen".