101410412013 has 12 divisors (see below), whose sum is σ = 148668001248. Its totient is φ = 66597882120.

The previous prime is 101410412009. The next prime is 101410412023. The reversal of 101410412013 is 310214014101.

101410412013 is a `hidden beast` number, since 10 + 1 + 410 + 41 + 201 + 3 = 666.

It is not a de Polignac number, because 101410412013 - 2² = 101410412009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101410412023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84087633 + ... + 84088838.

It is an arithmetic number, because the mean of its divisors is an integer number (12389000104).

Almost surely, 2^101410412013 is an apocalyptic number.

It is an amenable number.

101410412013 is a deficient number, since it is larger than the sum of its proper divisors (47257589235).

101410412013 is a wasteful number, since it uses less digits than its factorization.

101410412013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168176544 (or 168176541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101410412013 its reverse (310214014101), we get a palindrome (411624426114).

The spelling of 101410412013 in words is "one hundred one billion, four hundred ten million, four hundred twelve thousand, thirteen".