107251313 has 8 divisors (see below), whose sum is σ = 116562600. Its totient is φ = 98091648.

The previous prime is 107251303. The next prime is 107251327. The reversal of 107251313 is 313152701.

It can be written as a sum of positive squares in 4 ways, for example, as 40551424 + 66699889 = 6368^2 + 8167^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 107251313 - 2⁴ = 107251297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107251303) 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, 36428 + ... + 39261.

It is an arithmetic number, because the mean of its divisors is an integer number (14570325).

Almost surely, 2^107251313 is an apocalyptic number.

107251313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107251313 is a deficient number, since it is larger than the sum of its proper divisors (9311287).

107251313 is a wasteful number, since it uses less digits than its factorization.

107251313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75811.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 107251313 is about 10356.2209806473. The cubic root of 107251313 is about 475.1173309415.

The spelling of 107251313 in words is "one hundred seven million, two hundred fifty-one thousand, three hundred thirteen".