101441000142313 has 8 divisors (see below), whose sum is σ = 109252076750600. Its totient is φ = 93631055355648.

The previous prime is 101441000142283. The next prime is 101441000142319. The reversal of 101441000142313 is 313241000144101.

It can be written as a sum of positive squares in 4 ways, for example, as 16698444295129 + 84742555847184 = 4086373^2 + 9205572^2 .

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 101441000142313 - 2³³ = 101432410207721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101441000142319) 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, 282769248 + ... + 283127761.

It is an arithmetic number, because the mean of its divisors is an integer number (13656509593825).

Almost surely, 2^{101441000142313} is an apocalyptic number.

101441000142313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101441000142313 is a deficient number, since it is larger than the sum of its proper divisors (7811076608287).

101441000142313 is a wasteful number, since it uses less digits than its factorization.

101441000142313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565910811.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101441000142313 its reverse (313241000144101), we get a palindrome (414682000286414).

The spelling of 101441000142313 in words is "one hundred one trillion, four hundred forty-one billion, one hundred forty-two thousand, three hundred thirteen".