13661210319 has 8 divisors (see below), whose sum is σ = 19286414640. Its totient is φ = 8571739776.

The previous prime is 13661210257. The next prime is 13661210357. The reversal of 13661210319 is 91301216631.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13661210319 - 2⁸ = 13661210063 is a prime.

It is a super-4 number, since 4×13661210319⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13661210319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13661210389) 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, 133933384 + ... + 133933485.

It is an arithmetic number, because the mean of its divisors is an integer number (2410801830).

Almost surely, 2^13661210319 is an apocalyptic number.

13661210319 is a deficient number, since it is larger than the sum of its proper divisors (5625204321).

13661210319 is a wasteful number, since it uses less digits than its factorization.

13661210319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267866889.

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 13661210319 in words is "thirteen billion, six hundred sixty-one million, two hundred ten thousand, three hundred nineteen".