1003114113001 has 96 divisors (see below), whose sum is σ = 1430100370944. Its totient is φ = 683299584000.

The previous prime is 1003114112999. The next prime is 1003114113007.

1003114113001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1003114113001 - 2¹ = 1003114112999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003114113007) 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, 25558945 + ... + 25598161.

It is an arithmetic number, because the mean of its divisors is an integer number (14896878864).

Almost surely, 2^{1003114113001} is an apocalyptic number.

1003114113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003114113001 is a deficient number, since it is larger than the sum of its proper divisors (426986257943).

1003114113001 is a wasteful number, since it uses less digits than its factorization.

1003114113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39383 (or 39372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 1003114113001 in words is "one trillion, three billion, one hundred fourteen million, one hundred thirteen thousand, one".