101413123013 has 4 divisors (see below), whose sum is σ = 101621364000. Its totient is φ = 101204882028.

The previous prime is 101413122971. The next prime is 101413123043. The reversal of 101413123013 is 310321314101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101413123013 - 2¹⁴ = 101413106629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413123043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104119763 + ... + 104120736.

It is an arithmetic number, because the mean of its divisors is an integer number (25405341000).

Almost surely, 2^101413123013 is an apocalyptic number.

It is an amenable number.

101413123013 is a deficient number, since it is larger than the sum of its proper divisors (208240987).

101413123013 is an equidigital number, since it uses as much as digits as its factorization.

101413123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208240986.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101413123013 its reverse (310321314101), we get a palindrome (411734437114).

The spelling of 101413123013 in words is "one hundred one billion, four hundred thirteen million, one hundred twenty-three thousand, thirteen".