101313405 has 24 divisors (see below), whose sum is σ = 176195448. Its totient is φ = 53853696.

The previous prime is 101313397. The next prime is 101313409. The reversal of 101313405 is 504313101.

It can be written as a sum of positive squares in 4 ways, for example, as 8749764 + 92563641 = 2958^2 + 9621^2 .

It is not a de Polignac number, because 101313405 - 2³ = 101313397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10489 + ... + 17681.

It is an arithmetic number, because the mean of its divisors is an integer number (7341477).

Almost surely, 2^101313405 is an apocalyptic number.

101313405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101313405 is a deficient number, since it is larger than the sum of its proper divisors (74882043).

101313405 is a wasteful number, since it uses less digits than its factorization.

101313405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101313405 is about 10065.4560254367. The cubic root of 101313405 is about 466.1821464938.

Adding to 101313405 its reverse (504313101), we get a palindrome (605626506).

The spelling of 101313405 in words is "one hundred one million, three hundred thirteen thousand, four hundred five".