213435125016300 has 432 divisors, whose sum is σ = 775042519541472. Its totient is φ = 48553692364800.

The previous prime is 213435125016299. The next prime is 213435125016331. The reversal of 213435125016300 is 3610521534312.

213435125016300 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 5 + 12 + 5 + 0 + 1 + 630 + 0 = 666.

It is a super-2 number, since 2×213435125016300² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54835524 + ... + 58598676.

It is an arithmetic number, because the mean of its divisors is an integer number (1794079906346).

Almost surely, 2^{213435125016300} is an apocalyptic number.

213435125016300 is a gapful number since it is divisible by the number (20) 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 213435125016300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387521259770736).

213435125016300 is an abundant number, since it is smaller than the sum of its proper divisors (561607394525172).

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

213435125016300 is a wasteful number, since it uses less digits than its factorization.

213435125016300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763538 (or 3763528 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 213435125016300 in words is "two hundred thirteen trillion, four hundred thirty-five billion, one hundred twenty-five million, sixteen thousand, three hundred".