10001121412413 has 8 divisors (see below), whose sum is σ = 13386715043328. Its totient is φ = 6641471028224.

The previous prime is 10001121412393. The next prime is 10001121412417. The reversal of 10001121412413 is 31421412110001.

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 10001121412413 - 2²⁰ = 10001120363837 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001121412413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121412417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6485810781 + ... + 6485812322.

It is an arithmetic number, because the mean of its divisors is an integer number (1673339380416).

Almost surely, 2^{10001121412413} is an apocalyptic number.

It is an amenable number.

10001121412413 is a deficient number, since it is larger than the sum of its proper divisors (3385593630915).

10001121412413 is a wasteful number, since it uses less digits than its factorization.

10001121412413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12971623363.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10001121412413 its reverse (31421412110001), we get a palindrome (41422533522414).

The spelling of 10001121412413 in words is "ten trillion, one billion, one hundred twenty-one million, four hundred twelve thousand, four hundred thirteen".