213777438505071 has 32 divisors (see below), whose sum is σ = 326040524425728. Its totient is φ = 122051922284160.

The previous prime is 213777438505039. The next prime is 213777438505087. The reversal of 213777438505071 is 170505834777312.

213777438505071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213777438505071 - 2⁵ = 213777438505039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213777438504996 and 213777438505014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213777438505091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109955121 + ... + 111882453.

It is an arithmetic number, because the mean of its divisors is an integer number (10188766388304).

Almost surely, 2^{213777438505071} is an apocalyptic number.

213777438505071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213777438505071 is a deficient number, since it is larger than the sum of its proper divisors (112263085920657).

213777438505071 is a wasteful number, since it uses less digits than its factorization.

213777438505071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931951.

The product of its (nonzero) digits is 34574400, while the sum is 60.

The spelling of 213777438505071 in words is "two hundred thirteen trillion, seven hundred seventy-seven billion, four hundred thirty-eight million, five hundred five thousand, seventy-one".