120120001001013 has 8 divisors (see below), whose sum is σ = 172480001437408. Its totient is φ = 73920000615984.

The previous prime is 120120001000997. The next prime is 120120001001029. The reversal of 120120001001013 is 310100100021021.

It is an interprime number because it is at equal distance from previous prime (120120001000997) and next prime (120120001001029).

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

It is not a de Polignac number, because 120120001001013 - 2⁴ = 120120001000997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120120001001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120001001083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1540000012795 + ... + 1540000012872.

It is an arithmetic number, because the mean of its divisors is an integer number (21560000179676).

Almost surely, 2^{120120001001013} is an apocalyptic number.

120120001001013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120120001001013 is a deficient number, since it is larger than the sum of its proper divisors (52360000436395).

120120001001013 is a wasteful number, since it uses less digits than its factorization.

120120001001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080000025683.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120120001001013 its reverse (310100100021021), we get a palindrome (430220101022034).

The spelling of 120120001001013 in words is "one hundred twenty trillion, one hundred twenty billion, one million, one thousand, thirteen".