202201010020013 has 2 divisors, whose sum is σ = 202201010020014. Its totient is φ = 202201010020012.

The previous prime is 202201010019989. The next prime is 202201010020021. The reversal of 202201010020013 is 310020010102202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105933456590404 + 96267553429609 = 10292398^2 + 9811603^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201010020013 - 2¹⁶ = 202201009954477 is a prime.

It is a super-2 number, since 2×202201010020013² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202201010020013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202201010040013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100505010006 + 101100505010007.

It is an arithmetic number, because the mean of its divisors is an integer number (101100505010007).

Almost surely, 2^{202201010020013} is an apocalyptic number.

It is an amenable number.

202201010020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201010020013 is an equidigital number, since it uses as much as digits as its factorization.

202201010020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 202201010020013 its reverse (310020010102202), we get a palindrome (512221020122215).

The spelling of 202201010020013 in words is "two hundred two trillion, two hundred one billion, ten million, twenty thousand, thirteen".