101001121111313 has 8 divisors (see below), whose sum is σ = 101008851874560. Its totient is φ = 100993390684560.

The previous prime is 101001121111309. The next prime is 101001121111327. The reversal of 101001121111313 is 313111121100101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101001121111313 - 2² = 101001121111309 is a prime.

It is a super-2 number, since 2×101001121111313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001121111291 and 101001121111300.

It is not an unprimeable number, because it can be changed into a prime (101001121111333) 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, 986605856 + ... + 986708222.

It is an arithmetic number, because the mean of its divisors is an integer number (12626106484320).

Almost surely, 2^{101001121111313} is an apocalyptic number.

It is an amenable number.

101001121111313 is a deficient number, since it is larger than the sum of its proper divisors (7730763247).

101001121111313 is a wasteful number, since it uses less digits than its factorization.

101001121111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168247.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 101001121111313 its reverse (313111121100101), we get a palindrome (414112242211414).

The spelling of 101001121111313 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, three hundred thirteen".