101312122401113 has 8 divisors (see below), whose sum is σ = 109105846381056. Its totient is φ = 93518467534800.

The previous prime is 101312122401047. The next prime is 101312122401121. The reversal of 101312122401113 is 311104221213101.

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 101312122401113 - 2²² = 101312118206809 is a prime.

It is a super-2 number, since 2×101312122401113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101312122401313) 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, 14213753 + ... + 20116038.

It is an arithmetic number, because the mean of its divisors is an integer number (13638230797632).

Almost surely, 2^{101312122401113} is an apocalyptic number.

101312122401113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101312122401113 is a deficient number, since it is larger than the sum of its proper divisors (7793723979943).

101312122401113 is a wasteful number, since it uses less digits than its factorization.

101312122401113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34556815.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 101312122401113 its reverse (311104221213101), we get a palindrome (412416343614214).

The spelling of 101312122401113 in words is "one hundred one trillion, three hundred twelve billion, one hundred twenty-two million, four hundred one thousand, one hundred thirteen".