213381542660 has 96 divisors (see below), whose sum is σ = 527659477632. Its totient is φ = 71458744320.

The previous prime is 213381542659. The next prime is 213381542669. The reversal of 213381542660 is 66245183312.

213381542660 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213381542660² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213381542669) by changing a digit.

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, 1152227 + ... + 1324533.

It is an arithmetic number, because the mean of its divisors is an integer number (5496452892).

Almost surely, 2^213381542660 is an apocalyptic number.

213381542660 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 213381542660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263829738816).

213381542660 is an abundant number, since it is smaller than the sum of its proper divisors (314277934972).

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

213381542660 is a wasteful number, since it uses less digits than its factorization.

213381542660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172773 (or 172771 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 213381542660 in words is "two hundred thirteen billion, three hundred eighty-one million, five hundred forty-two thousand, six hundred sixty".