2003102100314 has 8 divisors (see below), whose sum is σ = 3433889314848. Its totient is φ = 858472328700.

The previous prime is 2003102100277. The next prime is 2003102100353. The reversal of 2003102100314 is 4130012013002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×2003102100314³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2003102100292 and 2003102100301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71539360712 + ... + 71539360739.

It is an arithmetic number, because the mean of its divisors is an integer number (429236164356).

Almost surely, 2^{2003102100314} is an apocalyptic number.

2003102100314 is a deficient number, since it is larger than the sum of its proper divisors (1430787214534).

2003102100314 is a wasteful number, since it uses less digits than its factorization.

2003102100314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143078721460.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2003102100314 its reverse (4130012013002), we get a palindrome (6133114113316).

The spelling of 2003102100314 in words is "two trillion, three billion, one hundred two million, one hundred thousand, three hundred fourteen".