13313210331213 has 48 divisors (see below), whose sum is σ = 21477255683520. Its totient is φ = 8192439201024.

The previous prime is 13313210331209. The next prime is 13313210331217. The reversal of 13313210331213 is 31213301231331.

13313210331213 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 321 + 0 + 331 + 2 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13313210331209) and next prime (13313210331217).

It is not a de Polignac number, because 13313210331213 - 2² = 13313210331209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313210331217) 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, 108238533 + ... + 108361461.

It is an arithmetic number, because the mean of its divisors is an integer number (447442826740).

Almost surely, 2^{13313210331213} is an apocalyptic number.

13313210331213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13313210331213 is a deficient number, since it is larger than the sum of its proper divisors (8164045352307).

13313210331213 is a wasteful number, since it uses less digits than its factorization.

13313210331213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157240 (or 157228 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13313210331213 its reverse (31213301231331), we get a palindrome (44526511562544).

The spelling of 13313210331213 in words is "thirteen trillion, three hundred thirteen billion, two hundred ten million, three hundred thirty-one thousand, two hundred thirteen".