213085911942970 has 192 divisors, whose sum is σ = 450825513415200. Its totient is φ = 72204609945600.

The previous prime is 213085911942931. The next prime is 213085911943043. The reversal of 213085911942970 is 79249119580312.

213085911942970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 749227005241 + 212336684937729 = 865579^2 + 14571777^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213085911942899 and 213085911942908.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3051504016 + ... + 3051573844.

Almost surely, 2^{213085911942970} is an apocalyptic number.

213085911942970 is an abundant number, since it is smaller than the sum of its proper divisors (237739601472230).

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

213085911942970 is a wasteful number, since it uses less digits than its factorization.

213085911942970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71345 (or 71334 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 213085911942970 in words is "two hundred thirteen trillion, eighty-five billion, nine hundred eleven million, nine hundred forty-two thousand, nine hundred seventy".