100111311130405 has 8 divisors (see below), whose sum is σ = 120133691746200. Its totient is φ = 80088969977856.

The previous prime is 100111311130387. The next prime is 100111311130423. The reversal of 100111311130405 is 504031113111001.

It is an interprime number because it is at equal distance from previous prime (100111311130387) and next prime (100111311130423).

It can be written as a sum of positive squares in 4 ways, for example, as 9408887546881 + 90702423583524 = 3067391^2 + 9523782^2 .

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 100111311130405 - 2²³ = 100111302741797 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3963820 + ... + 14694709.

It is an arithmetic number, because the mean of its divisors is an integer number (15016711468275).

Almost surely, 2^{100111311130405} is an apocalyptic number.

It is an amenable number.

100111311130405 is a deficient number, since it is larger than the sum of its proper divisors (20022380615795).

100111311130405 is a wasteful number, since it uses less digits than its factorization.

100111311130405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19731623.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 100111311130405 its reverse (504031113111001), we get a palindrome (604142424241406).

The spelling of 100111311130405 in words is "one hundred trillion, one hundred eleven billion, three hundred eleven million, one hundred thirty thousand, four hundred five".