120021130333013 has 32 divisors (see below), whose sum is σ = 148193817580032. Its totient is φ = 94656583929600.

The previous prime is 120021130333007. The next prime is 120021130333019. The reversal of 120021130333013 is 310333031120021.

It is an interprime number because it is at equal distance from previous prime (120021130333007) and next prime (120021130333019).

It is not a de Polignac number, because 120021130333013 - 2¹² = 120021130328917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120021130333013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021130333019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33494183 + ... + 36903963.

It is an arithmetic number, because the mean of its divisors is an integer number (4631056799376).

Almost surely, 2^{120021130333013} is an apocalyptic number.

120021130333013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120021130333013 is a deficient number, since it is larger than the sum of its proper divisors (28172687247019).

120021130333013 is a wasteful number, since it uses less digits than its factorization.

120021130333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411045.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 120021130333013 its reverse (310333031120021), we get a palindrome (430354161453034).

The spelling of 120021130333013 in words is "one hundred twenty trillion, twenty-one billion, one hundred thirty million, three hundred thirty-three thousand, thirteen".