101141040341313 has 12 divisors (see below), whose sum is σ = 166962987230208. Its totient is φ = 57794880195000.

The previous prime is 101141040341303. The next prime is 101141040341417. The reversal of 101141040341313 is 313143040141101.

101141040341313 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 1 + 0 + 4 + 0 + 341 + 313 = 666.

It is not a de Polignac number, because 101141040341313 - 2⁶ = 101141040341249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101141040341303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802706669313 + ... + 802706669438.

It is an arithmetic number, because the mean of its divisors is an integer number (13913582269184).

Almost surely, 2^{101141040341313} is an apocalyptic number.

It is an amenable number.

101141040341313 is a deficient number, since it is larger than the sum of its proper divisors (65821946888895).

101141040341313 is a wasteful number, since it uses less digits than its factorization.

101141040341313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605413338764 (or 1605413338761 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101141040341313 its reverse (313143040141101), we get a palindrome (414284080482414).

The spelling of 101141040341313 in words is "one hundred one trillion, one hundred forty-one billion, forty million, three hundred forty-one thousand, three hundred thirteen".