101300121012113 has 8 divisors (see below), whose sum is σ = 106632619872000. Its totient is φ = 95967713506608.

The previous prime is 101300121012047. The next prime is 101300121012137. The reversal of 101300121012113 is 311210121003101.

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 101300121012113 - 2¹² = 101300121008017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101300121012091 and 101300121012100.

It is not an unprimeable number, because it can be changed into a prime (101300121012313) 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, 20556638 + ... + 25003511.

It is an arithmetic number, because the mean of its divisors is an integer number (13329077484000).

Almost surely, 2^{101300121012113} is an apocalyptic number.

It is an amenable number.

101300121012113 is a deficient number, since it is larger than the sum of its proper divisors (5332498859887).

101300121012113 is a wasteful number, since it uses less digits than its factorization.

101300121012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45677191.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101300121012113 its reverse (311210121003101), we get a palindrome (412510242015214).

The spelling of 101300121012113 in words is "one hundred one trillion, three hundred billion, one hundred twenty-one million, twelve thousand, one hundred thirteen".