10413124010001 has 6 divisors (see below), whose sum is σ = 15041179125570. Its totient is φ = 6942082673328.

The previous prime is 10413124009987. The next prime is 10413124010011. The reversal of 10413124010001 is 10001042131401.

10413124010001 is a `hidden beast` number, since 1 + 0 + 413 + 1 + 240 + 10 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10413012686400 + 111323601 = 3226920^2 + 10551^2 .

It is not a de Polignac number, because 10413124010001 - 2¹⁰ = 10413124008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10413124010011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578506889436 + ... + 578506889453.

It is an arithmetic number, because the mean of its divisors is an integer number (2506863187595).

Almost surely, 2^{10413124010001} is an apocalyptic number.

It is an amenable number.

10413124010001 is a deficient number, since it is larger than the sum of its proper divisors (4628055115569).

10413124010001 is a wasteful number, since it uses less digits than its factorization.

10413124010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157013778895 (or 1157013778892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10413124010001 its reverse (10001042131401), we get a palindrome (20414166141402).

The spelling of 10413124010001 in words is "ten trillion, four hundred thirteen billion, one hundred twenty-four million, ten thousand, one".