101002112313 has 8 divisors (see below), whose sum is σ = 136877179776. Its totient is φ = 66230893200.

The previous prime is 101002112261. The next prime is 101002112317. The reversal of 101002112313 is 313211200101.

It is a happy number.

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

It is not a de Polignac number, because 101002112313 - 2⁹ = 101002111801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002112292 and 101002112301.

It is not an unprimeable number, because it can be changed into a prime (101002112317) 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 7 ways as a sum of consecutive naturals, for example, 275961873 + ... + 275962238.

It is an arithmetic number, because the mean of its divisors is an integer number (17109647472).

Almost surely, 2^101002112313 is an apocalyptic number.

It is an amenable number.

101002112313 is a deficient number, since it is larger than the sum of its proper divisors (35875067463).

101002112313 is an equidigital number, since it uses as much as digits as its factorization.

101002112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551924175.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101002112313 its reverse (313211200101), we get a palindrome (414213312414).

The spelling of 101002112313 in words is "one hundred one billion, two million, one hundred twelve thousand, three hundred thirteen".