10002201213413 has 2 divisors, whose sum is σ = 10002201213414. Its totient is φ = 10002201213412.

The previous prime is 10002201213401. The next prime is 10002201213439. The reversal of 10002201213413 is 31431210220001.

10002201213413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9400122985444 + 602078227969 = 3065962^2 + 775937^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002201213413 - 2²² = 10002197019109 is a prime.

It is a super-2 number, since 2×10002201213413² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002201212413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001100606706 + 5001100606707.

It is an arithmetic number, because the mean of its divisors is an integer number (5001100606707).

Almost surely, 2^{10002201213413} is an apocalyptic number.

It is an amenable number.

10002201213413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002201213413 is an equidigital number, since it uses as much as digits as its factorization.

10002201213413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10002201213413 its reverse (31431210220001), we get a palindrome (41433411433414).

The spelling of 10002201213413 in words is "ten trillion, two billion, two hundred one million, two hundred thirteen thousand, four hundred thirteen".