101132313 has 8 divisors (see below), whose sum is σ = 137128800. Its totient is φ = 66278688.

The previous prime is 101132293. The next prime is 101132333. The reversal of 101132313 is 313231101.

It is an interprime number because it is at equal distance from previous prime (101132293) and next prime (101132333).

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

It is not a de Polignac number, because 101132313 - 2⁶ = 101132249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101132292 and 101132301.

It is not an unprimeable number, because it can be changed into a prime (101132333) 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, 285508 + ... + 285861.

It is an arithmetic number, because the mean of its divisors is an integer number (17141100).

Almost surely, 2^101132313 is an apocalyptic number.

It is an amenable number.

101132313 is a deficient number, since it is larger than the sum of its proper divisors (35996487).

101132313 is an equidigital number, since it uses as much as digits as its factorization.

101132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571431.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101132313 is about 10056.4562843976. The cubic root of 101132313 is about 465.9042227348.

Adding to 101132313 its reverse (313231101), we get a palindrome (414363414).

The spelling of 101132313 in words is "one hundred one million, one hundred thirty-two thousand, three hundred thirteen".