10302213121357 has 2 divisors, whose sum is σ = 10302213121358. Its totient is φ = 10302213121356.

The previous prime is 10302213121289. The next prime is 10302213121363. The reversal of 10302213121357 is 75312131220301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6836729301796 + 3465483819561 = 2614714^2 + 1861581^2 .

It is a cyclic number.

It is not a de Polignac number, because 10302213121357 - 2⁷ = 10302213121229 is a prime.

It is a super-2 number, since 2×10302213121357² (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 (10302213128357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151106560678 + 5151106560679.

It is an arithmetic number, because the mean of its divisors is an integer number (5151106560679).

Almost surely, 2^{10302213121357} is an apocalyptic number.

It is an amenable number.

10302213121357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10302213121357 is an equidigital number, since it uses as much as digits as its factorization.

10302213121357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 10302213121357 its reverse (75312131220301), we get a palindrome (85614344341658).

The spelling of 10302213121357 in words is "ten trillion, three hundred two billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred fifty-seven".