100001011301113 has 16 divisors (see below), whose sum is σ = 109210878032256. Its totient is φ = 91007943626880.

The previous prime is 100001011301101. The next prime is 100001011301117. The reversal of 100001011301113 is 311103110100001.

It is a cyclic number.

It is not a de Polignac number, because 100001011301113 - 2⁹ = 100001011300601 is a prime.

It is a super-2 number, since 2×100001011301113² (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 junction number, because it is equal to n+sod(n) for n = 100001011301093 and 100001011301102.

It is not an unprimeable number, because it can be changed into a prime (100001011301117) 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, 256919181 + ... + 257308117.

It is an arithmetic number, because the mean of its divisors is an integer number (6825679877016).

Almost surely, 2^{100001011301113} is an apocalyptic number.

100001011301113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100001011301113 is a deficient number, since it is larger than the sum of its proper divisors (9209866731143).

100001011301113 is a wasteful number, since it uses less digits than its factorization.

100001011301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667584.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100001011301113 its reverse (311103110100001), we get a palindrome (411104121401114).

The spelling of 100001011301113 in words is "one hundred trillion, one billion, eleven million, three hundred one thousand, one hundred thirteen".