4013102123505 has 96 divisors (see below), whose sum is σ = 7298903589120. Its totient is φ = 2037147840000.

The previous prime is 4013102123497. The next prime is 4013102123507. The reversal of 4013102123505 is 5053212013104.

4013102123505 is a `hidden beast` number, since 4 + 0 + 1 + 31 + 0 + 2 + 123 + 505 = 666.

It is not a de Polignac number, because 4013102123505 - 2³ = 4013102123497 is a prime.

It is a super-4 number, since 4×4013102123505⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4013102123507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25736475 + ... + 25891935.

It is an arithmetic number, because the mean of its divisors is an integer number (76030245720).

Almost surely, 2^{4013102123505} is an apocalyptic number.

4013102123505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4013102123505 is a deficient number, since it is larger than the sum of its proper divisors (3285801465615).

4013102123505 is a wasteful number, since it uses less digits than its factorization.

4013102123505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155783 (or 155780 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 4013102123505 its reverse (5053212013104), we get a palindrome (9066314136609).

The spelling of 4013102123505 in words is "four trillion, thirteen billion, one hundred two million, one hundred twenty-three thousand, five hundred five".