54101313 has 24 divisors (see below), whose sum is σ = 93195648. Its totient is φ = 29570112.

The previous prime is 54101279. The next prime is 54101321. The reversal of 54101313 is 31310145.

It is not a de Polignac number, because 54101313 - 2⁹ = 54100801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54101413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17220 + ... + 20117.

It is an arithmetic number, because the mean of its divisors is an integer number (3883152).

Almost surely, 2^54101313 is an apocalyptic number.

It is an amenable number.

54101313 is a deficient number, since it is larger than the sum of its proper divisors (39094335).

54101313 is a wasteful number, since it uses less digits than its factorization.

54101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37373 (or 37370 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 54101313 is about 7355.3594745600. The cubic root of 54101313 is about 378.2125494792.

Adding to 54101313 its reverse (31310145), we get a palindrome (85411458).

The spelling of 54101313 in words is "fifty-four million, one hundred one thousand, three hundred thirteen".