2100002132113 has 8 divisors (see below), whose sum is σ = 2109400562016. Its totient is φ = 2090609361600.

The previous prime is 2100002132101. The next prime is 2100002132117. The reversal of 2100002132113 is 3112312000012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100002132113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100002132117) 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 7 ways as a sum of consecutive naturals, for example, 670183 + ... + 2156188.

It is an arithmetic number, because the mean of its divisors is an integer number (263675070252).

Almost surely, 2^{2100002132113} is an apocalyptic number.

It is an amenable number.

2100002132113 is a deficient number, since it is larger than the sum of its proper divisors (9398429903).

2100002132113 is a wasteful number, since it uses less digits than its factorization.

2100002132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829695.

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

Adding to 2100002132113 its reverse (3112312000012), we get a palindrome (5212314132125).

The spelling of 2100002132113 in words is "two trillion, one hundred billion, two million, one hundred thirty-two thousand, one hundred thirteen".