101344400213 has 4 divisors (see below), whose sum is σ = 115822171680. Its totient is φ = 86866628748.

The previous prime is 101344400173. The next prime is 101344400309. The reversal of 101344400213 is 312004443101.

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 101344400213 - 2¹⁶ = 101344334677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344480213) 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 3 ways as a sum of consecutive naturals, for example, 7238885723 + ... + 7238885736.

It is an arithmetic number, because the mean of its divisors is an integer number (28955542920).

Almost surely, 2^101344400213 is an apocalyptic number.

It is an amenable number.

101344400213 is a deficient number, since it is larger than the sum of its proper divisors (14477771467).

101344400213 is an equidigital number, since it uses as much as digits as its factorization.

101344400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14477771466.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101344400213 its reverse (312004443101), we get a palindrome (413348843314).

The spelling of 101344400213 in words is "one hundred one billion, three hundred forty-four million, four hundred thousand, two hundred thirteen".