1004413103001 has 96 divisors (see below), whose sum is σ = 1853795414016. Its totient is φ = 508809312000.

The previous prime is 1004413102967. The next prime is 1004413103011. The reversal of 1004413103001 is 1003013144001.

1004413103001 is a `hidden beast` number, since 10 + 0 + 4 + 41 + 310 + 300 + 1 = 666.

It is not a de Polignac number, because 1004413103001 - 2¹⁸ = 1004412840857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1004413103011) 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, 71906320 + ... + 71920286.

It is an arithmetic number, because the mean of its divisors is an integer number (19310368896).

Almost surely, 2^{1004413103001} is an apocalyptic number.

1004413103001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004413103001 is a deficient number, since it is larger than the sum of its proper divisors (849382311015).

1004413103001 is a wasteful number, since it uses less digits than its factorization.

1004413103001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16563 (or 16560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1004413103001 its reverse (1003013144001), we get a palindrome (2007426247002).

The spelling of 1004413103001 in words is "one trillion, four billion, four hundred thirteen million, one hundred three thousand, one".