213102090314848 has 192 divisors, whose sum is σ = 514910793922560. Its totient is φ = 84737014382592.

The previous prime is 213102090314713. The next prime is 213102090314873. The reversal of 213102090314848 is 848413090201312.

It is a junction number, because it is equal to n+sod(n) for n = 213102090314798 and 213102090314807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192884140 + ... + 193985812.

It is an arithmetic number, because the mean of its divisors is an integer number (2681827051680).

Almost surely, 2^{213102090314848} is an apocalyptic number.

213102090314848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213102090314848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257455396961280).

213102090314848 is an abundant number, since it is smaller than the sum of its proper divisors (301808703607712).

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

213102090314848 is a wasteful number, since it uses less digits than its factorization.

213102090314848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102429 (or 1102421 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 213102090314848 in words is "two hundred thirteen trillion, one hundred two billion, ninety million, three hundred fourteen thousand, eight hundred forty-eight".