101050313 has 16 divisors (see below), whose sum is σ = 125588736. Its totient is φ = 79168320.

The previous prime is 101050283. The next prime is 101050321. The reversal of 101050313 is 313050101.

It is not a de Polignac number, because 101050313 - 2⁶ = 101050249 is a prime.

It is a super-2 number, since 2×101050313² = 20422331514795938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101050393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (7849296).

Almost surely, 2^101050313 is an apocalyptic number.

101050313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101050313 is a deficient number, since it is larger than the sum of its proper divisors (24538423).

101050313 is a wasteful number, since it uses less digits than its factorization.

101050313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 101050313 is about 10052.3784747690. The cubic root of 101050313 is about 465.7782673558.

The spelling of 101050313 in words is "one hundred one million, fifty thousand, three hundred thirteen".