213002023120 has 20 divisors (see below), whose sum is σ = 495229703940. Its totient is φ = 85200809216.

The previous prime is 213002023111. The next prime is 213002023123. The reversal of 213002023120 is 21320200312.

213002023120 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 can be written as a sum of positive squares in 2 ways, for example, as 67145247376 + 145856775744 = 259124^2 + 381912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213002023094 and 213002023103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002023123) 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 3 ways as a sum of consecutive naturals, for example, 1331262565 + ... + 1331262724.

It is an arithmetic number, because the mean of its divisors is an integer number (24761485197).

Almost surely, 2^213002023120 is an apocalyptic number.

213002023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002023120 is an abundant number, since it is smaller than the sum of its proper divisors (282227680820).

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

213002023120 is a wasteful number, since it uses less digits than its factorization.

213002023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662525302 (or 2662525296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213002023120 its reverse (21320200312), we get a palindrome (234322223432).

The spelling of 213002023120 in words is "two hundred thirteen billion, two million, twenty-three thousand, one hundred twenty".