113379903 has 72 divisors (see below), whose sum is σ = 211940352. Its totient is φ = 57081024.

The previous prime is 113379901. The next prime is 113379941. The reversal of 113379903 is 309973311.

It is a Cunningham number, because it is equal to 22⁶-1.

It is not a de Polignac number, because 113379903 - 2¹ = 113379901 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113379901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244650 + ... + 245112.

It is an arithmetic number, because the mean of its divisors is an integer number (2943616).

Almost surely, 2^113379903 is an apocalyptic number.

113379903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113379903 is a deficient number, since it is larger than the sum of its proper divisors (98560449).

113379903 is a wasteful number, since it uses less digits than its factorization.

113379903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 15309, while the sum is 36.

The square root of 113379903 is about 10647.9999530428. Note that the first 4 decimals coincide. The cubic root of 113379903 is about 483.9999985771. Note that the first 5 decimals are identical.

The spelling of 113379903 in words is "one hundred thirteen million, three hundred seventy-nine thousand, nine hundred three".