213513781972512 has 288 divisors, whose sum is σ = 679674707679744. Its totient is φ = 58451549184000.

The previous prime is 213513781972511. The next prime is 213513781972523. The reversal of 213513781972512 is 215279187315312.

It is not an unprimeable number, because it can be changed into a prime (213513781972511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7479768 + ... + 21976680.

It is an arithmetic number, because the mean of its divisors is an integer number (2359981623888).

Almost surely, 2^{213513781972512} 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 213513781972512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339837353839872).

213513781972512 is an abundant number, since it is smaller than the sum of its proper divisors (466160925707232).

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

213513781972512 is a wasteful number, since it uses less digits than its factorization.

213513781972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14497072 (or 14497057 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 57.

The spelling of 213513781972512 in words is "two hundred thirteen trillion, five hundred thirteen billion, seven hundred eighty-one million, nine hundred seventy-two thousand, five hundred twelve".