4100135313 has 16 divisors (see below), whose sum is σ = 5626822400. Its totient is φ = 2654570880.

The previous prime is 4100135297. The next prime is 4100135329. The reversal of 4100135313 is 3135310014.

It is an interprime number because it is at equal distance from previous prime (4100135297) and next prime (4100135329).

It is not a de Polignac number, because 4100135313 - 2⁴ = 4100135297 is a prime.

It is a super-2 number, since 2×4100135313² = 33622219169819215938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4100135313.

It is not an unprimeable number, because it can be changed into a prime (4100135213) 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, 127348 + ... + 156261.

It is an arithmetic number, because the mean of its divisors is an integer number (351676400).

Almost surely, 2^4100135313 is an apocalyptic number.

It is an amenable number.

4100135313 is a deficient number, since it is larger than the sum of its proper divisors (1526687087).

4100135313 is a wasteful number, since it uses less digits than its factorization.

4100135313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283752.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 4100135313 is about 64032.2989826228. The cubic root of 4100135313 is about 1600.5382711084.

Adding to 4100135313 its reverse (3135310014), we get a palindrome (7235445327).

The spelling of 4100135313 in words is "four billion, one hundred million, one hundred thirty-five thousand, three hundred thirteen".