213100487056512 has 1536 divisors, whose sum is σ = 713680237670400. Its totient is φ = 60458293002240.

The previous prime is 213100487056409. The next prime is 213100487056549. The reversal of 213100487056512 is 215650784001312.

213100487056512 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 0 + 4 + 8 + 70 + 565 + 12 = 666.

It is a super-2 number, since 2×213100487056512² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270775713783 + ... + 270775714569.

It is an arithmetic number, because the mean of its divisors is an integer number (464635571400).

Almost surely, 2^{213100487056512} is an apocalyptic number.

213100487056512 is a gapful number since it is divisible by the number (22) 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 213100487056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356840118835200).

213100487056512 is an abundant number, since it is smaller than the sum of its proper divisors (500579750613888).

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

213100487056512 is a wasteful number, since it uses less digits than its factorization.

213100487056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 213100487056512 in words is "two hundred thirteen trillion, one hundred billion, four hundred eighty-seven million, fifty-six thousand, five hundred twelve".