101413320641 has 8 divisors (see below), whose sum is σ = 101495048424. Its totient is φ = 101331630720.

The previous prime is 101413320611. The next prime is 101413320643. The reversal of 101413320641 is 146023314101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23653209616 + 77760111025 = 153796^2 + 278855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101413320641 - 2⁶ = 101413320577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101413320641.

It is not an unprimeable number, because it can be changed into a prime (101413320643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7563155 + ... + 7576551.

It is an arithmetic number, because the mean of its divisors is an integer number (12686881053).

Almost surely, 2^101413320641 is an apocalyptic number.

It is an amenable number.

101413320641 is a deficient number, since it is larger than the sum of its proper divisors (81727783).

101413320641 is a wasteful number, since it uses less digits than its factorization.

101413320641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18931.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101413320641 its reverse (146023314101), we get a palindrome (247436634742).

The spelling of 101413320641 in words is "one hundred one billion, four hundred thirteen million, three hundred twenty thousand, six hundred forty-one".