213375317213753 has 2 divisors, whose sum is σ = 213375317213754. Its totient is φ = 213375317213752.

The previous prime is 213375317213741. The next prime is 213375317213999. The reversal of 213375317213753 is 357312713573312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158308409992489 + 55066907221264 = 12582067^2 + 7420708^2 .

It is a cyclic number.

It is not a de Polignac number, because 213375317213753 - 2¹² = 213375317209657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213375317213695 and 213375317213704.

It is not a weakly prime, because it can be changed into another prime (213375317213153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106687658606876 + 106687658606877.

It is an arithmetic number, because the mean of its divisors is an integer number (106687658606877).

Almost surely, 2^{213375317213753} is an apocalyptic number.

It is an amenable number.

213375317213753 is a deficient number, since it is larger than the sum of its proper divisors (1).

213375317213753 is an equidigital number, since it uses as much as digits as its factorization.

213375317213753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8334900, while the sum is 53.

The spelling of 213375317213753 in words is "two hundred thirteen trillion, three hundred seventy-five billion, three hundred seventeen million, two hundred thirteen thousand, seven hundred fifty-three".