2145166103313 has 32 divisors (see below), whose sum is σ = 3195134330880. Its totient is φ = 1422413239680.

The previous prime is 2145166103279. The next prime is 2145166103317. The reversal of 2145166103313 is 3133016615412.

2145166103313 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 1 + 6 + 610 + 3 + 31 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2145166103313 is a prime.

It is a super-2 number, since 2×2145166103313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145166103317) 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 in 31 ways as a sum of consecutive naturals, for example, 39955395 + ... + 40009047.

It is an arithmetic number, because the mean of its divisors is an integer number (99847947840).

Almost surely, 2^{2145166103313} is an apocalyptic number.

It is an amenable number.

2145166103313 is a deficient number, since it is larger than the sum of its proper divisors (1049968227567).

2145166103313 is a wasteful number, since it uses less digits than its factorization.

2145166103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61606 (or 61600 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2145166103313 in words is "two trillion, one hundred forty-five billion, one hundred sixty-six million, one hundred three thousand, three hundred thirteen".