13777113 has 16 divisors (see below), whose sum is σ = 21671936. Its totient is φ = 7618320.

The previous prime is 13777097. The next prime is 13777129. The reversal of 13777113 is 31177731.

13777113 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13777097) and next prime (13777129).

It is not a de Polignac number, because 13777113 - 2⁴ = 13777097 is a prime.

It is a super-2 number, since 2×13777113² = 379617685229538, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13777133) 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, 9931 + ... + 11232.

It is an arithmetic number, because the mean of its divisors is an integer number (1354496).

Almost surely, 2^13777113 is an apocalyptic number.

It is an amenable number.

13777113 is a deficient number, since it is larger than the sum of its proper divisors (7894823).

13777113 is a wasteful number, since it uses less digits than its factorization.

13777113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21204.

The product of its digits is 3087, while the sum is 30.

The square root of 13777113 is about 3711.7533592630. The cubic root of 13777113 is about 239.7283558498.

The spelling of 13777113 in words is "thirteen million, seven hundred seventy-seven thousand, one hundred thirteen".