213414324014515 has 192 divisors, whose sum is σ = 297901325659392. Its totient is φ = 145783726387200.

The previous prime is 213414324014497. The next prime is 213414324014519. The reversal of 213414324014515 is 515410423414312.

It is not a de Polignac number, because 213414324014515 - 2⁷ = 213414324014387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213414324014519) 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 191 ways as a sum of consecutive naturals, for example, 214056492997 + ... + 214056493993.

It is an arithmetic number, because the mean of its divisors is an integer number (1551569404476).

Almost surely, 2^{213414324014515} is an apocalyptic number.

213414324014515 is a deficient number, since it is larger than the sum of its proper divisors (84487001644877).

213414324014515 is a wasteful number, since it uses less digits than its factorization.

213414324014515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 213414324014515 its reverse (515410423414312), we get a palindrome (728824747428827).

The spelling of 213414324014515 in words is "two hundred thirteen trillion, four hundred fourteen billion, three hundred twenty-four million, fourteen thousand, five hundred fifteen".