10102431001013 has 16 divisors (see below), whose sum is σ = 10953217664256. Its totient is φ = 9262187913600.

The previous prime is 10102431001007. The next prime is 10102431001073. The reversal of 10102431001013 is 31010013420101.

It is a cyclic number.

It is not a de Polignac number, because 10102431001013 - 2¹⁰ = 10102430999989 is a prime.

It is a super-2 number, since 2×10102431001013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102431000982 and 10102431001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102431001073) 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 15 ways as a sum of consecutive naturals, for example, 12955856 + ... + 13713462.

It is an arithmetic number, because the mean of its divisors is an integer number (684576104016).

Almost surely, 2^{10102431001013} is an apocalyptic number.

10102431001013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102431001013 is a deficient number, since it is larger than the sum of its proper divisors (850786663243).

10102431001013 is a wasteful number, since it uses less digits than its factorization.

10102431001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764564.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10102431001013 its reverse (31010013420101), we get a palindrome (41112444421114).

The spelling of 10102431001013 in words is "ten trillion, one hundred two billion, four hundred thirty-one million, one thousand, thirteen".