10002152617133 has 2 divisors, whose sum is σ = 10002152617134. Its totient is φ = 10002152617132.

The previous prime is 10002152617129. The next prime is 10002152617187. The reversal of 10002152617133 is 33171625120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9778898257129 + 223254360004 = 3127123^2 + 472498^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002152617133 - 2² = 10002152617129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002152617133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002152677133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001076308566 + 5001076308567.

It is an arithmetic number, because the mean of its divisors is an integer number (5001076308567).

Almost surely, 2^{10002152617133} is an apocalyptic number.

It is an amenable number.

10002152617133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002152617133 is an equidigital number, since it uses as much as digits as its factorization.

10002152617133 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 32.

Adding to 10002152617133 its reverse (33171625120001), we get a palindrome (43173777737134).

The spelling of 10002152617133 in words is "ten trillion, two billion, one hundred fifty-two million, six hundred seventeen thousand, one hundred thirty-three".