10003002122113 has 16 divisors (see below), whose sum is σ = 13430604249216. Its totient is φ = 7194966560640.

The previous prime is 10003002122107. The next prime is 10003002122149. The reversal of 10003002122113 is 31122120030001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003002122113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10003002182113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4996503556 + ... + 4996505557.

It is an arithmetic number, because the mean of its divisors is an integer number (839412765576).

Almost surely, 2^{10003002122113} is an apocalyptic number.

10003002122113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003002122113 is a deficient number, since it is larger than the sum of its proper divisors (3427602127103).

10003002122113 is a wasteful number, since it uses less digits than its factorization.

10003002122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993009144.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10003002122113 its reverse (31122120030001), we get a palindrome (41125122152114).

The spelling of 10003002122113 in words is "ten trillion, three billion, two million, one hundred twenty-two thousand, one hundred thirteen".