1220121032013 has 18 divisors (see below), whose sum is σ = 1908394437066. Its totient is φ = 750843711072.

The previous prime is 1220121031981. The next prime is 1220121032017. The reversal of 1220121032013 is 3102301210221.

1220121032013 is a `hidden beast` number, since 1 + 220 + 121 + 0 + 320 + 1 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 121844279844 + 1098276752169 = 349062^2 + 1047987^2 .

It is not a de Polignac number, because 1220121032013 - 2⁵ = 1220121031981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220121032017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 401090206 + ... + 401093247.

Almost surely, 2^{1220121032013} is an apocalyptic number.

1220121032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1220121032013 is a deficient number, since it is larger than the sum of its proper divisors (688273405053).

1220121032013 is a wasteful number, since it uses less digits than its factorization.

1220121032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802183485 (or 802183469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1220121032013 its reverse (3102301210221), we get a palindrome (4322422242234).

It can be divided in two parts, 122012103 and 2013, that added together give a square (122014116 = 11046²).

The spelling of 1220121032013 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, thirty-two thousand, thirteen".