100001104100131 has 8 divisors (see below), whose sum is σ = 114028408295424. Its totient is φ = 86878787272320.

The previous prime is 100001104100069. The next prime is 100001104100137. The reversal of 100001104100131 is 131001401100001.

It is a happy number.

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 100001104100131 - 2¹⁵ = 100001104067363 is a prime.

It is a super-2 number, since 2×100001104100131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001104100137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226246841635 + ... + 226246842076.

It is an arithmetic number, because the mean of its divisors is an integer number (14253551036928).

Almost surely, 2^{100001104100131} is an apocalyptic number.

100001104100131 is a deficient number, since it is larger than the sum of its proper divisors (14027304195293).

100001104100131 is a wasteful number, since it uses less digits than its factorization.

100001104100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452493683741.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100001104100131 its reverse (131001401100001), we get a palindrome (231002505200132).

The spelling of 100001104100131 in words is "one hundred trillion, one billion, one hundred four million, one hundred thousand, one hundred thirty-one".