101313105 has 32 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 53041152.

The previous prime is 101313103. The next prime is 101313109. The reversal of 101313105 is 501313101.

It is not a de Polignac number, because 101313105 - 2¹ = 101313103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101313103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260251 + ... + 260639.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^101313105 is an apocalyptic number.

101313105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101313105 is a deficient number, since it is larger than the sum of its proper divisors (63797295).

101313105 is a wasteful number, since it uses less digits than its factorization.

101313105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 101313105 is about 10065.4411229712. The cubic root of 101313105 is about 466.1816863547.

Adding to 101313105 its reverse (501313101), we get a palindrome (602626206).

The spelling of 101313105 in words is "one hundred one million, three hundred thirteen thousand, one hundred five".