10137413 has 8 divisors (see below), whose sum is σ = 11909856. Its totient is φ = 8506800.

The previous prime is 10137349. The next prime is 10137419. The reversal of 10137413 is 31473101.

It is a happy number.

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 10137413 - 2⁶ = 10137349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35303 + ... + 35588.

It is an arithmetic number, because the mean of its divisors is an integer number (1488732).

Almost surely, 2^10137413 is an apocalyptic number.

10137413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10137413 is a deficient number, since it is larger than the sum of its proper divisors (1772443).

10137413 is a wasteful number, since it uses less digits than its factorization.

10137413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70915.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 10137413 is about 3183.9304326571. The cubic root of 10137413 is about 216.4258075601.

The spelling of 10137413 in words is "ten million, one hundred thirty-seven thousand, four hundred thirteen".