13123410313335 has 64 divisors (see below), whose sum is σ = 26131136025600. Its totient is φ = 5487538516992.

The previous prime is 13123410313249. The next prime is 13123410313339. The reversal of 13123410313335 is 53331301432131.

It is a happy number.

It is not a de Polignac number, because 13123410313335 - 2¹¹ = 13123410311287 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13123410313296 and 13123410313305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123410313339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113358534 + ... + 113474243.

It is an arithmetic number, because the mean of its divisors is an integer number (408299000400).

Almost surely, 2^{13123410313335} is an apocalyptic number.

13123410313335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13123410313335 is a deficient number, since it is larger than the sum of its proper divisors (13007725712265).

13123410313335 is a wasteful number, since it uses less digits than its factorization.

13123410313335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226832840.

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 13123410313335 its reverse (53331301432131), we get a palindrome (66454711745466).

The spelling of 13123410313335 in words is "thirteen trillion, one hundred twenty-three billion, four hundred ten million, three hundred thirteen thousand, three hundred thirty-five".