4102100513 has 48 divisors (see below), whose sum is σ = 5246553600. Its totient is φ = 3185360640.

The previous prime is 4102100507. The next prime is 4102100549. The reversal of 4102100513 is 3150012014.

It is not a de Polignac number, because 4102100513 - 2¹⁰ = 4102099489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4102100491 and 4102100500.

It is not an unprimeable number, because it can be changed into a prime (4102100593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567831 + ... + 2569427.

It is an arithmetic number, because the mean of its divisors is an integer number (109303200).

Almost surely, 2^4102100513 is an apocalyptic number.

It is an amenable number.

4102100513 is a deficient number, since it is larger than the sum of its proper divisors (1144453087).

4102100513 is a wasteful number, since it uses less digits than its factorization.

4102100513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 4102100513 is about 64047.6425249205. The cubic root of 4102100513 is about 1600.7939435985.

Adding to 4102100513 its reverse (3150012014), we get a palindrome (7252112527).

The spelling of 4102100513 in words is "four billion, one hundred two million, one hundred thousand, five hundred thirteen".