22313003241413 has 2 divisors, whose sum is σ = 22313003241414. Its totient is φ = 22313003241412.

The previous prime is 22313003241359. The next prime is 22313003241467. The reversal of 22313003241413 is 31414230031322.

It is a balanced prime because it is at equal distance from previous prime (22313003241359) and next prime (22313003241467).

It can be written as a sum of positive squares in only one way, i.e., 22004186303044 + 308816938369 = 4690862^2 + 555713^2 .

It is a cyclic number.

It is not a de Polignac number, because 22313003241413 - 2⁶ = 22313003241349 is a prime.

It is a super-3 number, since 3×22313003241413³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22313003241313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156501620706 + 11156501620707.

It is an arithmetic number, because the mean of its divisors is an integer number (11156501620707).

Almost surely, 2^{22313003241413} is an apocalyptic number.

It is an amenable number.

22313003241413 is a deficient number, since it is larger than the sum of its proper divisors (1).

22313003241413 is an equidigital number, since it uses as much as digits as its factorization.

22313003241413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 22313003241413 its reverse (31414230031322), we get a palindrome (53727233272735).

The spelling of 22313003241413 in words is "twenty-two trillion, three hundred thirteen billion, three million, two hundred forty-one thousand, four hundred thirteen".