13742313 has 8 divisors (see below), whose sum is σ = 19732608. Its totient is φ = 8456784.

The previous prime is 13742297. The next prime is 13742347. The reversal of 13742313 is 31324731.

13742313 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 a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13742313 - 2⁴ = 13742297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13742383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176145 + ... + 176222.

It is an arithmetic number, because the mean of its divisors is an integer number (2466576).

Almost surely, 2^13742313 is an apocalyptic number.

13742313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13742313 is a deficient number, since it is larger than the sum of its proper divisors (5990295).

13742313 is a wasteful number, since it uses less digits than its factorization.

13742313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352383.

The product of its digits is 1512, while the sum is 24.

The square root of 13742313 is about 3707.0625837717. The cubic root of 13742313 is about 239.5263401135.

The spelling of 13742313 in words is "thirteen million, seven hundred forty-two thousand, three hundred thirteen".