1003302414114 has 128 divisors (see below), whose sum is σ = 2695774169088. Its totient is φ = 240409935360.

The previous prime is 1003302414113. The next prime is 1003302414193. The reversal of 1003302414114 is 4114142033001.

It is not an unprimeable number, because it can be changed into a prime (1003302414113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10299862 + ... + 10396814.

It is an arithmetic number, because the mean of its divisors is an integer number (21060735696).

Almost surely, 2^{1003302414114} is an apocalyptic number.

1003302414114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003302414114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347887084544).

1003302414114 is an abundant number, since it is smaller than the sum of its proper divisors (1692471754974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003302414114 is a wasteful number, since it uses less digits than its factorization.

1003302414114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98712.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1003302414114 its reverse (4114142033001), we get a palindrome (5117444447115).

The spelling of 1003302414114 in words is "one trillion, three billion, three hundred two million, four hundred fourteen thousand, one hundred fourteen".