113311320100101 has 192 divisors, whose sum is σ = 187882426368000. Its totient is φ = 67923655690176.

The previous prime is 113311320100039. The next prime is 113311320100133. The reversal of 113311320100101 is 101001023113311.

113311320100101 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 320 + 1 + 0 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 113311320100101 - 2⁷ = 113311320099973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311320100151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10622598970 + ... + 10622609636.

It is an arithmetic number, because the mean of its divisors is an integer number (978554304000).

Almost surely, 2^{113311320100101} is an apocalyptic number.

It is an amenable number.

113311320100101 is a deficient number, since it is larger than the sum of its proper divisors (74571106267899).

113311320100101 is a wasteful number, since it uses less digits than its factorization.

113311320100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113311320100101 its reverse (101001023113311), we get a palindrome (214312343213412).

The spelling of 113311320100101 in words is "one hundred thirteen trillion, three hundred eleven billion, three hundred twenty million, one hundred thousand, one hundred one".