2100002031013 has 16 divisors (see below), whose sum is σ = 2258655880320. Its totient is φ = 1947352625856.

The previous prime is 2100002031007. The next prime is 2100002031041. The reversal of 2100002031013 is 3101302000012.

It is not a de Polignac number, because 2100002031013 - 2³³ = 2091412096421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100002030984 and 2100002031002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100002035013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4218583 + ... + 4690036.

It is an arithmetic number, because the mean of its divisors is an integer number (141165992520).

Almost surely, 2^{2100002031013} is an apocalyptic number.

2100002031013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2100002031013 is a deficient number, since it is larger than the sum of its proper divisors (158653849307).

2100002031013 is a wasteful number, since it uses less digits than its factorization.

2100002031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908956.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2100002031013 its reverse (3101302000012), we get a palindrome (5201304031025).

The spelling of 2100002031013 in words is "two trillion, one hundred billion, two million, thirty-one thousand, thirteen".