213034141345537 has 2 divisors, whose sum is σ = 213034141345538. Its totient is φ = 213034141345536.

The previous prime is 213034141345457. The next prime is 213034141345561. The reversal of 213034141345537 is 735543141430312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173070048160881 + 39964093184656 = 13155609^2 + 6321716^2 .

It is a cyclic number.

It is not a de Polignac number, because 213034141345537 - 2⁷ = 213034141345409 is a prime.

It is not a weakly prime, because it can be changed into another prime (213034141345577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106517070672768 + 106517070672769.

It is an arithmetic number, because the mean of its divisors is an integer number (106517070672769).

Almost surely, 2^{213034141345537} is an apocalyptic number.

It is an amenable number.

213034141345537 is a deficient number, since it is larger than the sum of its proper divisors (1).

213034141345537 is an equidigital number, since it uses as much as digits as its factorization.

213034141345537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 46.

Adding to 213034141345537 its reverse (735543141430312), we get a palindrome (948577282775849).

The spelling of 213034141345537 in words is "two hundred thirteen trillion, thirty-four billion, one hundred forty-one million, three hundred forty-five thousand, five hundred thirty-seven".