13131312000201 has 48 divisors (see below), whose sum is σ = 19233916416000. Its totient is φ = 8631962640000.

The previous prime is 13131312000187. The next prime is 13131312000223. The reversal of 13131312000201 is 10200021313131.

13131312000201 is a `hidden beast` number, since 1 + 31 + 313 + 120 + 0 + 0 + 201 = 666.

It is not a de Polignac number, because 13131312000201 - 2¹⁴ = 13131311983817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131312000241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677176216 + ... + 677195606.

It is an arithmetic number, because the mean of its divisors is an integer number (400706592000).

Almost surely, 2^{13131312000201} is an apocalyptic number.

It is an amenable number.

13131312000201 is a deficient number, since it is larger than the sum of its proper divisors (6102604415799).

13131312000201 is a wasteful number, since it uses less digits than its factorization.

13131312000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22518 (or 22515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131312000201 its reverse (10200021313131), we get a palindrome (23331333313332).

The spelling of 13131312000201 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twelve million, two hundred one", and thus it is an aban number.