100101113313 has 8 divisors (see below), whose sum is σ = 134318267328. Its totient is φ = 66309017424.

The previous prime is 100101113309. The next prime is 100101113317. The reversal of 100101113313 is 313311101001.

It is an interprime number because it is at equal distance from previous prime (100101113309) and next prime (100101113317).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100101113313 - 2² = 100101113309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101113292 and 100101113301.

It is not an unprimeable number, because it can be changed into a prime (100101113317) 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, 106263981 + ... + 106264922.

It is an arithmetic number, because the mean of its divisors is an integer number (16789783416).

Almost surely, 2^100101113313 is an apocalyptic number.

It is an amenable number.

100101113313 is a deficient number, since it is larger than the sum of its proper divisors (34217154015).

100101113313 is a wasteful number, since it uses less digits than its factorization.

100101113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212529063.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100101113313 its reverse (313311101001), we get a palindrome (413412214314).

The spelling of 100101113313 in words is "one hundred billion, one hundred one million, one hundred thirteen thousand, three hundred thirteen".