101113112100313 has 8 divisors (see below), whose sum is σ = 106597059464448. Its totient is φ = 95719808494464.

The previous prime is 101113112100269. The next prime is 101113112100433. The reversal of 101113112100313 is 313001211311101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101113112100313 is a prime.

It is a super-2 number, since 2×101113112100313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101113112100613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22660937281 + ... + 22660941742.

It is an arithmetic number, because the mean of its divisors is an integer number (13324632433056).

Almost surely, 2^{101113112100313} is an apocalyptic number.

It is an amenable number.

101113112100313 is a deficient number, since it is larger than the sum of its proper divisors (5483947364135).

101113112100313 is an equidigital number, since it uses as much as digits as its factorization.

101113112100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45321879143.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 101113112100313 its reverse (313001211311101), we get a palindrome (414114323411414).

The spelling of 101113112100313 in words is "one hundred one trillion, one hundred thirteen billion, one hundred twelve million, one hundred thousand, three hundred thirteen".