113129381 has 2 divisors, whose sum is σ = 113129382. Its totient is φ = 113129380.

The previous prime is 113129347. The next prime is 113129383. The reversal of 113129381 is 183921311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73376356 + 39753025 = 8566^2 + 6305^2 .

It is a cyclic number.

It is not a de Polignac number, because 113129381 - 2¹⁴ = 113112997 is a prime.

It is a super-2 number, since 2×113129381² = 25596513690886322, which contains 22 as substring.

Together with 113129383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113129383) 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 as a sum of consecutive naturals, namely, 56564690 + 56564691.

It is an arithmetic number, because the mean of its divisors is an integer number (56564691).

Almost surely, 2^113129381 is an apocalyptic number.

It is an amenable number.

113129381 is a deficient number, since it is larger than the sum of its proper divisors (1).

113129381 is an equidigital number, since it uses as much as digits as its factorization.

113129381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 29.

The square root of 113129381 is about 10636.2296421241. The cubic root of 113129381 is about 483.6432567441.

The spelling of 113129381 in words is "one hundred thirteen million, one hundred twenty-nine thousand, three hundred eighty-one".