10032102301013 has 12 divisors (see below), whose sum is σ = 10867943664900. Its totient is φ = 9256327681536.

The previous prime is 10032102301007. The next prime is 10032102301019. The reversal of 10032102301013 is 31010320123001.

It is an interprime number because it is at equal distance from previous prime (10032102301007) and next prime (10032102301019).

It can be written as a sum of positive squares in 6 ways, for example, as 299961049969 + 9732141251044 = 547687^2 + 3119638^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10032102301013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032102300982 and 10032102301000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032102301019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12673838 + ... + 13442111.

It is an arithmetic number, because the mean of its divisors is an integer number (905661972075).

Almost surely, 2^{10032102301013} is an apocalyptic number.

10032102301013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10032102301013 is a deficient number, since it is larger than the sum of its proper divisors (835841363887).

10032102301013 is a wasteful number, since it uses less digits than its factorization.

10032102301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26118248 (or 26118235 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10032102301013 its reverse (31010320123001), we get a palindrome (41042422424014).

The spelling of 10032102301013 in words is "ten trillion, thirty-two billion, one hundred two million, three hundred one thousand, thirteen".