10302032013 has 16 divisors (see below), whose sum is σ = 16905899136. Its totient is φ = 5434038720.

The previous prime is 10302031997. The next prime is 10302032023. The reversal of 10302032013 is 31023020301.

It is not a de Polignac number, because 10302032013 - 2⁴ = 10302031997 is a prime.

It is a super-2 number, since 2×10302032013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302031983 and 10302032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302032023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18867918 + ... + 18868463.

It is an arithmetic number, because the mean of its divisors is an integer number (1056618696).

Almost surely, 2^10302032013 is an apocalyptic number.

10302032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10302032013 is a deficient number, since it is larger than the sum of its proper divisors (6603867123).

10302032013 is a wasteful number, since it uses less digits than its factorization.

10302032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37736404.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10302032013 its reverse (31023020301), we get a palindrome (41325052314).

The spelling of 10302032013 in words is "ten billion, three hundred two million, thirty-two thousand, thirteen".