101313424044 has 216 divisors, whose sum is σ = 313979466528. Its totient is φ = 26972144640.

The previous prime is 101313424021. The next prime is 101313424081. The reversal of 101313424044 is 440424313101.

101313424044 is a `hidden beast` number, since 101 + 313 + 4 + 240 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101313423999 and 101313424017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5540164 + ... + 5558420.

Almost surely, 2^101313424044 is an apocalyptic number.

101313424044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313424044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989733264).

101313424044 is an abundant number, since it is smaller than the sum of its proper divisors (212666042484).

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

101313424044 is a wasteful number, since it uses less digits than its factorization.

101313424044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18349 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101313424044 its reverse (440424313101), we get a palindrome (541737737145).

The spelling of 101313424044 in words is "one hundred one billion, three hundred thirteen million, four hundred twenty-four thousand, forty-four".