100113111313113 has 8 divisors (see below), whose sum is σ = 133567523906976. Its totient is φ = 66700386464000.

The previous prime is 100113111313091. The next prime is 100113111313121. The reversal of 100113111313113 is 311313111311001.

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 100113111313113 - 2⁹ = 100113111312601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100113111313113.

It is not an unprimeable number, because it can be changed into a prime (100113111313213) 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, 10421930583 + ... + 10421940188.

It is an arithmetic number, because the mean of its divisors is an integer number (16695940488372).

Almost surely, 2^{100113111313113} is an apocalyptic number.

It is an amenable number.

100113111313113 is a deficient number, since it is larger than the sum of its proper divisors (33454412593863).

100113111313113 is a wasteful number, since it uses less digits than its factorization.

100113111313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20843872375.

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 100113111313113 its reverse (311313111311001), we get a palindrome (411426222624114).

The spelling of 100113111313113 in words is "one hundred trillion, one hundred thirteen billion, one hundred eleven million, three hundred thirteen thousand, one hundred thirteen".