101300004213401 has 16 divisors (see below), whose sum is σ = 118243556321280. Its totient is φ = 84974760994320.

The previous prime is 101300004213293. The next prime is 101300004213427. The reversal of 101300004213401 is 104312400003101.

It is a cyclic number.

It is not a de Polignac number, because 101300004213401 - 2¹⁴ = 101300004197017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101300004213101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7210391 + ... + 15955868.

It is an arithmetic number, because the mean of its divisors is an integer number (7390222270080).

Almost surely, 2^{101300004213401} is an apocalyptic number.

It is an amenable number.

101300004213401 is a deficient number, since it is larger than the sum of its proper divisors (16943552107879).

101300004213401 is a wasteful number, since it uses less digits than its factorization.

101300004213401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23179604.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101300004213401 its reverse (104312400003101), we get a palindrome (205612404216502).

The spelling of 101300004213401 in words is "one hundred one trillion, three hundred billion, four million, two hundred thirteen thousand, four hundred one".