213113211192 has 384 divisors, whose sum is σ = 697043880000. Its totient is φ = 60150988800.

The previous prime is 213113211167. The next prime is 213113211211. The reversal of 213113211192 is 291112311312.

213113211192 is a `hidden beast` number, since 21 + 311 + 321 + 1 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531454192 + ... + 531454592.

Almost surely, 2^213113211192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113211192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348521940000).

213113211192 is an abundant number, since it is smaller than the sum of its proper divisors (483930668808).

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

213113211192 is a wasteful number, since it uses less digits than its factorization.

213113211192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The spelling of 213113211192 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred eleven thousand, one hundred ninety-two".