120201111013 has 16 divisors (see below), whose sum is σ = 131704317360. Its totient is φ = 109193011200.

The previous prime is 120201110993. The next prime is 120201111119. The reversal of 120201111013 is 310111102021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4436492449 + 115764618564 = 66607^2 + 340242^2 .

It is a cyclic number.

It is not a de Polignac number, because 120201111013 - 2²¹ = 120199013861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120201110984 and 120201111002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201121013) 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, 1499593 + ... + 1577713.

It is an arithmetic number, because the mean of its divisors is an integer number (8231519835).

Almost surely, 2^120201111013 is an apocalyptic number.

It is an amenable number.

120201111013 is a deficient number, since it is larger than the sum of its proper divisors (11503206347).

120201111013 is a wasteful number, since it uses less digits than its factorization.

120201111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81288.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 120201111013 its reverse (310111102021), we get a palindrome (430312213034).

The spelling of 120201111013 in words is "one hundred twenty billion, two hundred one million, one hundred eleven thousand, thirteen".