100144374013 has 8 divisors (see below), whose sum is σ = 105422342400. Its totient is φ = 94867126848.

The previous prime is 100144374007. The next prime is 100144374059. The reversal of 100144374013 is 310473441001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100144374013 - 2¹³ = 100144365821 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 (100144374073) 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 7 ways as a sum of consecutive naturals, for example, 117333 + ... + 462661.

It is an arithmetic number, because the mean of its divisors is an integer number (13177792800).

Almost surely, 2^100144374013 is an apocalyptic number.

It is an amenable number.

100144374013 is a deficient number, since it is larger than the sum of its proper divisors (5277968387).

100144374013 is a wasteful number, since it uses less digits than its factorization.

100144374013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360611.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 100144374013 in words is "one hundred billion, one hundred forty-four million, three hundred seventy-four thousand, thirteen".