10002166713 has 96 divisors (see below), whose sum is σ = 19499397120. Its totient is φ = 4922091360.

The previous prime is 10002166703. The next prime is 10002166799. The reversal of 10002166713 is 31766120001.

10002166713 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002166713 - 2²⁴ = 9985389497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10002166703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 743856 + ... + 757182.

It is an arithmetic number, because the mean of its divisors is an integer number (203118720).

Almost surely, 2^10002166713 is an apocalyptic number.

It is an amenable number.

10002166713 is a deficient number, since it is larger than the sum of its proper divisors (9497230407).

10002166713 is a wasteful number, since it uses less digits than its factorization.

10002166713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 10002166713 its reverse (31766120001), we get a palindrome (41768286714).

It can be divided in two parts, 10002 and 166713, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 10002166713 in words is "ten billion, two million, one hundred sixty-six thousand, seven hundred thirteen".