213413520414420 has 36 divisors (see below), whose sum is σ = 647354345257620. Its totient is φ = 56910272110464.

The previous prime is 213413520414379. The next prime is 213413520414443. The reversal of 213413520414420 is 24414025314312.

213413520414420 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 3 + 5 + 204 + 1 + 442 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124600915100484 + 88812605313936 = 11162478^2 + 9424044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592815334305 + ... + 592815334664.

It is an arithmetic number, because the mean of its divisors is an integer number (17982065146045).

Almost surely, 2^{213413520414420} is an apocalyptic number.

213413520414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213413520414420 is an abundant number, since it is smaller than the sum of its proper divisors (433940824843200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213413520414420 is a wasteful number, since it uses less digits than its factorization.

213413520414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185630668984 (or 1185630668979 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 213413520414420 its reverse (24414025314312), we get a palindrome (237827545728732).

The spelling of 213413520414420 in words is "two hundred thirteen trillion, four hundred thirteen billion, five hundred twenty million, four hundred fourteen thousand, four hundred twenty".