2100101032313 has 4 divisors (see below), whose sum is σ = 2148940591248. Its totient is φ = 2051261473380.

The previous prime is 2100101032273. The next prime is 2100101032363. The reversal of 2100101032313 is 3132301010012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100101032313 - 2³⁰ = 2099027290489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100101032291 and 2100101032300.

It is not an unprimeable number, because it can be changed into a prime (2100101032363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24419779403 + ... + 24419779488.

It is an arithmetic number, because the mean of its divisors is an integer number (537235147812).

Almost surely, 2^{2100101032313} is an apocalyptic number.

It is an amenable number.

2100101032313 is a deficient number, since it is larger than the sum of its proper divisors (48839558935).

2100101032313 is an equidigital number, since it uses as much as digits as its factorization.

2100101032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48839558934.

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

Adding to 2100101032313 its reverse (3132301010012), we get a palindrome (5232402042325).

The spelling of 2100101032313 in words is "two trillion, one hundred billion, one hundred one million, thirty-two thousand, three hundred thirteen".