1003414311341 has 24 divisors (see below), whose sum is σ = 1121052026880. Its totient is φ = 897248753856.

The previous prime is 1003414311323. The next prime is 1003414311343. The reversal of 1003414311341 is 1431134143001.

It is a de Polignac number, because none of the positive numbers 2^k-1003414311341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003414311341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003414311343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1421 + ... + 1416626.

It is an arithmetic number, because the mean of its divisors is an integer number (46710501120).

Almost surely, 2^{1003414311341} is an apocalyptic number.

It is an amenable number.

1003414311341 is a deficient number, since it is larger than the sum of its proper divisors (117637715539).

1003414311341 is a wasteful number, since it uses less digits than its factorization.

1003414311341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418205 (or 1418192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1003414311341 its reverse (1431134143001), we get a palindrome (2434548454342).

The spelling of 1003414311341 in words is "one trillion, three billion, four hundred fourteen million, three hundred eleven thousand, three hundred forty-one".