13500211212331 has 2 divisors, whose sum is σ = 13500211212332. Its totient is φ = 13500211212330.

The previous prime is 13500211212259. The next prime is 13500211212347. The reversal of 13500211212331 is 13321211200531.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13500211212331 - 2²¹ = 13500209115179 is a prime.

It is a super-2 number, since 2×13500211212331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13500211212296 and 13500211212305.

It is not a weakly prime, because it can be changed into another prime (13500211212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750105606165 + 6750105606166.

It is an arithmetic number, because the mean of its divisors is an integer number (6750105606166).

Almost surely, 2^{13500211212331} is an apocalyptic number.

13500211212331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13500211212331 is an equidigital number, since it uses as much as digits as its factorization.

13500211212331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13500211212331 its reverse (13321211200531), we get a palindrome (26821422412862).

The spelling of 13500211212331 in words is "thirteen trillion, five hundred billion, two hundred eleven million, two hundred twelve thousand, three hundred thirty-one".