123414400013 has 8 divisors (see below), whose sum is σ = 130902932160. Its totient is φ = 115951296960.

The previous prime is 123414400009. The next prime is 123414400139. The reversal of 123414400013 is 310004414321.

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 123414400013 - 2² = 123414400009 is a prime.

It is a super-3 number, since 3×123414400013³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123414400313) 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, 6347273 + ... + 6366686.

It is an arithmetic number, because the mean of its divisors is an integer number (16362866520).

Almost surely, 2^123414400013 is an apocalyptic number.

It is an amenable number.

123414400013 is a deficient number, since it is larger than the sum of its proper divisors (7488532147).

123414400013 is a wasteful number, since it uses less digits than its factorization.

123414400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714547.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 123414400013 its reverse (310004414321), we get a palindrome (433418814334).

The spelling of 123414400013 in words is "one hundred twenty-three billion, four hundred fourteen million, four hundred thousand, thirteen".