121413000413 has 8 divisors (see below), whose sum is σ = 124798791096. Its totient is φ = 118047424000.

The previous prime is 121413000367. The next prime is 121413000421. The reversal of 121413000413 is 314000314121.

It can be written as a sum of positive squares in 4 ways, for example, as 199007449 + 121213992964 = 14107^2 + 348158^2 .

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 121413000413 - 2¹² = 121412996317 is a prime.

It is a super-2 number, since 2×121413000413² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121413000113) 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, 5041388 + ... + 5065413.

It is an arithmetic number, because the mean of its divisors is an integer number (15599848887).

Almost surely, 2^121413000413 is an apocalyptic number.

It is an amenable number.

121413000413 is a deficient number, since it is larger than the sum of its proper divisors (3385790683).

121413000413 is a wasteful number, since it uses less digits than its factorization.

121413000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107135.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121413000413 its reverse (314000314121), we get a palindrome (435413314534).

The spelling of 121413000413 in words is "one hundred twenty-one billion, four hundred thirteen million, four hundred thirteen", and thus it is an aban number.