213034133519 has 2 divisors, whose sum is σ = 213034133520. Its totient is φ = 213034133518.

The previous prime is 213034133491. The next prime is 213034133527. The reversal of 213034133519 is 915331430312.

213034133519 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 is a cyclic number.

It is not a de Polignac number, because 213034133519 - 2²⁴ = 213017356303 is a prime.

It is a super-3 number, since 3×213034133519³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213034133549) 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, 106517066759 + 106517066760.

It is an arithmetic number, because the mean of its divisors is an integer number (106517066760).

Almost surely, 2^213034133519 is an apocalyptic number.

213034133519 is a deficient number, since it is larger than the sum of its proper divisors (1).

213034133519 is an equidigital number, since it uses as much as digits as its factorization.

213034133519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 213034133519 in words is "two hundred thirteen billion, thirty-four million, one hundred thirty-three thousand, five hundred nineteen".