113948133 has 16 divisors (see below), whose sum is σ = 163820160. Its totient is φ = 70035264.

The previous prime is 113948129. The next prime is 113948167. The reversal of 113948133 is 331849311.

It is not a de Polignac number, because 113948133 - 2² = 113948129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113948094 and 113948103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113948333) 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, 46503 + ... + 48891.

It is an arithmetic number, because the mean of its divisors is an integer number (10238760).

Almost surely, 2^113948133 is an apocalyptic number.

113948133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113948133 is a deficient number, since it is larger than the sum of its proper divisors (49872027).

113948133 is a wasteful number, since it uses less digits than its factorization.

113948133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628.

The product of its digits is 7776, while the sum is 33.

The square root of 113948133 is about 10674.6490808832. The cubic root of 113948133 is about 484.8072114338.

The spelling of 113948133 in words is "one hundred thirteen million, nine hundred forty-eight thousand, one hundred thirty-three".