202113312001 has 32 divisors (see below), whose sum is σ = 220536310176. Its totient is φ = 184504320000.

The previous prime is 202113311929. The next prime is 202113312007. The reversal of 202113312001 is 100213311202.

It can be written as a sum of positive squares in 16 ways, for example, as 29610149776 + 172503162225 = 172076^2 + 415335^2 .

It is a cyclic number.

It is not a de Polignac number, because 202113312001 - 2¹³ = 202113303809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202113312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80170621 + ... + 80173141.

It is an arithmetic number, because the mean of its divisors is an integer number (6891759693).

Almost surely, 2^202113312001 is an apocalyptic number.

It is an amenable number.

202113312001 is a deficient number, since it is larger than the sum of its proper divisors (18422998175).

202113312001 is a wasteful number, since it uses less digits than its factorization.

202113312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 202113312001 its reverse (100213311202), we get a palindrome (302326623203).

The spelling of 202113312001 in words is "two hundred two billion, one hundred thirteen million, three hundred twelve thousand, one".