10100895508213 has 2 divisors, whose sum is σ = 10100895508214. Its totient is φ = 10100895508212.

The previous prime is 10100895508147. The next prime is 10100895508219. The reversal of 10100895508213 is 31280559800101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7434004012369 + 2666891495844 = 2726537^2 + 1633062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100895508213 is a prime.

It is a super-3 number, since 3×10100895508213³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100895508213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100895508219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050447754106 + 5050447754107.

It is an arithmetic number, because the mean of its divisors is an integer number (5050447754107).

Almost surely, 2^{10100895508213} is an apocalyptic number.

It is an amenable number.

10100895508213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100895508213 is an equidigital number, since it uses as much as digits as its factorization.

10100895508213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 10100895508213 in words is "ten trillion, one hundred billion, eight hundred ninety-five million, five hundred eight thousand, two hundred thirteen".