1014133113 has 144 divisors (see below), whose sum is σ = 1945696896. Its totient is φ = 496419840.

The previous prime is 1014133097. The next prime is 1014133117. The reversal of 1014133113 is 3113314101.

It is not a de Polignac number, because 1014133113 - 2⁴ = 1014133097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1014133117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16625103 + ... + 16625163.

It is an arithmetic number, because the mean of its divisors is an integer number (13511784).

Almost surely, 2^1014133113 is an apocalyptic number.

It is an amenable number.

1014133113 is a deficient number, since it is larger than the sum of its proper divisors (931563783).

1014133113 is a wasteful number, since it uses less digits than its factorization.

1014133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1014133113 is about 31845.4567089247. The cubic root of 1014133113 is about 1004.6890164260.

Adding to 1014133113 its reverse (3113314101), we get a palindrome (4127447214).

The spelling of 1014133113 in words is "one billion, fourteen million, one hundred thirty-three thousand, one hundred thirteen".