120013303310021 has 24 divisors (see below), whose sum is σ = 133745384570112. Its totient is φ = 107598667492800.

The previous prime is 120013303310009. The next prime is 120013303310057.

120013303310021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120013303310021 - 2¹⁸ = 120013303047877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120013303309975 and 120013303310002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013303310821) 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, 17896640 + ... + 23671001.

It is an arithmetic number, because the mean of its divisors is an integer number (5572724357088).

Almost surely, 2^{120013303310021} is an apocalyptic number.

120013303310021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120013303310021 is a deficient number, since it is larger than the sum of its proper divisors (13732081260091).

120013303310021 is a wasteful number, since it uses less digits than its factorization.

120013303310021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41567993 (or 41567982 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 12001330 and 3310021, that added together give a palindrome (15311351).

The spelling of 120013303310021 in words is "one hundred twenty trillion, thirteen billion, three hundred three million, three hundred ten thousand, twenty-one".