321201021020113 has 16 divisors (see below), whose sum is σ = 361031357581776. Its totient is φ = 283803939394560.

The previous prime is 321201021020101. The next prime is 321201021020119. The reversal of 321201021020113 is 311020120102123.

It can be written as a sum of positive squares in 8 ways, for example, as 11746200216529 + 309454820803584 = 3427273^2 + 17591328^2 .

It is not a de Polignac number, because 321201021020113 - 2¹⁷ = 321201020889041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321201021020119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5685146820 + ... + 5685203317.

It is an arithmetic number, because the mean of its divisors is an integer number (22564459848861).

Almost surely, 2^{321201021020113} is an apocalyptic number.

It is an amenable number.

321201021020113 is a deficient number, since it is larger than the sum of its proper divisors (39830336561663).

321201021020113 is a wasteful number, since it uses less digits than its factorization.

321201021020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370350244.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 321201021020113 its reverse (311020120102123), we get a palindrome (632221141122236).

The spelling of 321201021020113 in words is "three hundred twenty-one trillion, two hundred one billion, twenty-one million, twenty thousand, one hundred thirteen".