101112331313 has 16 divisors (see below), whose sum is σ = 117352627200. Its totient is φ = 85330896336.

The previous prime is 101112331301. The next prime is 101112331351. The reversal of 101112331313 is 313133211101.

It is not a de Polignac number, because 101112331313 - 2¹⁶ = 101112265777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112331363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292013 + ... + 536186.

It is an arithmetic number, because the mean of its divisors is an integer number (7334539200).

Almost surely, 2^101112331313 is an apocalyptic number.

It is an amenable number.

101112331313 is a deficient number, since it is larger than the sum of its proper divisors (16240295887).

101112331313 is a wasteful number, since it uses less digits than its factorization.

101112331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828476.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101112331313 its reverse (313133211101), we get a palindrome (414245542414).

The spelling of 101112331313 in words is "one hundred one billion, one hundred twelve million, three hundred thirty-one thousand, three hundred thirteen".