1003000133114 has 32 divisors (see below), whose sum is σ = 1723381785216. Its totient is φ = 428870030400.

The previous prime is 1003000133081. The next prime is 1003000133117. The reversal of 1003000133114 is 4113310003001.

It is a junction number, because it is equal to n+sod(n) for n = 1003000133092 and 1003000133101.

It is not an unprimeable number, because it can be changed into a prime (1003000133117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11369744 + ... + 11457620.

It is an arithmetic number, because the mean of its divisors is an integer number (53855680788).

Almost surely, 2^{1003000133114} is an apocalyptic number.

1003000133114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1003000133114 is a deficient number, since it is larger than the sum of its proper divisors (720381652102).

1003000133114 is a wasteful number, since it uses less digits than its factorization.

1003000133114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89750.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003000133114 its reverse (4113310003001), we get a palindrome (5116310136115).

The spelling of 1003000133114 in words is "one trillion, three billion, one hundred thirty-three thousand, one hundred fourteen".