101313440 has 24 divisors (see below), whose sum is σ = 239353380. Its totient is φ = 40525312.

The previous prime is 101313439. The next prime is 101313451. The reversal of 101313440 is 44313101.

It can be written as a sum of positive squares in 2 ways, for example, as 100240144 + 1073296 = 10012^2 + 1036^2 .

It is a super-3 number, since 3×101313440³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316445 + ... + 316764.

Almost surely, 2^101313440 is an apocalyptic number.

101313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313440 is an abundant number, since it is smaller than the sum of its proper divisors (138039940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101313440 is an equidigital number, since it uses as much as digits as its factorization.

101313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633224 (or 633216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 101313440 is about 10065.4577640562. The cubic root of 101313440 is about 466.1822001766.

Adding to 101313440 its reverse (44313101), we get a palindrome (145626541).

The spelling of 101313440 in words is "one hundred one million, three hundred thirteen thousand, four hundred forty".