13213412153253 has 12 divisors (see below), whose sum is σ = 20554196683020. Its totient is φ = 8131330555776.

The previous prime is 13213412153251. The next prime is 13213412153303. The reversal of 13213412153253 is 35235121431231.

13213412153253 is a `hidden beast` number, since 1 + 3 + 2 + 13 + 41 + 21 + 532 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1410353381889 + 11803058771364 = 1187583^2 + 3435558^2 .

It is not a de Polignac number, because 13213412153253 - 2¹ = 13213412153251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213412153251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56467573188 + ... + 56467573421.

It is an arithmetic number, because the mean of its divisors is an integer number (1712849723585).

Almost surely, 2^{13213412153253} is an apocalyptic number.

13213412153253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13213412153253 is a deficient number, since it is larger than the sum of its proper divisors (7340784529767).

13213412153253 is a wasteful number, since it uses less digits than its factorization.

13213412153253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112935146628 (or 112935146625 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 13213412153253 its reverse (35235121431231), we get a palindrome (48448533584484).

The spelling of 13213412153253 in words is "thirteen trillion, two hundred thirteen billion, four hundred twelve million, one hundred fifty-three thousand, two hundred fifty-three".