10102042324013 has 8 divisors (see below), whose sum is σ = 10106125444800. Its totient is φ = 10097959667488.

The previous prime is 10102042323959. The next prime is 10102042324027. The reversal of 10102042324013 is 31042324020101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102042324013 - 2⁶ = 10102042323949 is a prime.

It is a super-2 number, since 2×10102042324013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102042324013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102042324513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47275670 + ... + 47488872.

It is an arithmetic number, because the mean of its divisors is an integer number (1263265680600).

Almost surely, 2^{10102042324013} is an apocalyptic number.

It is an amenable number.

10102042324013 is a deficient number, since it is larger than the sum of its proper divisors (4083120787).

10102042324013 is a wasteful number, since it uses less digits than its factorization.

10102042324013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232131.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10102042324013 its reverse (31042324020101), we get a palindrome (41144366344114).

The spelling of 10102042324013 in words is "ten trillion, one hundred two billion, forty-two million, three hundred twenty-four thousand, thirteen".