13813406233381 has 2 divisors, whose sum is σ = 13813406233382. Its totient is φ = 13813406233380.

The previous prime is 13813406233349. The next prime is 13813406233387. The reversal of 13813406233381 is 18333260431831.

13813406233381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9805922736481 + 4007483496900 = 3131441^2 + 2001870^2 .

It is a cyclic number.

It is not a de Polignac number, because 13813406233381 - 2⁵ = 13813406233349 is a prime.

It is a super-2 number, since 2×13813406233381² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13813406233387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906703116690 + 6906703116691.

It is an arithmetic number, because the mean of its divisors is an integer number (6906703116691).

Almost surely, 2^{13813406233381} is an apocalyptic number.

It is an amenable number.

13813406233381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813406233381 is an equidigital number, since it uses as much as digits as its factorization.

13813406233381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 13813406233381 in words is "thirteen trillion, eight hundred thirteen billion, four hundred six million, two hundred thirty-three thousand, three hundred eighty-one".