213121013113320 has 128 divisors (see below), whose sum is σ = 688560502291200. Its totient is φ = 52459361593344.

The previous prime is 213121013113303. The next prime is 213121013113331. The reversal of 213121013113320 is 23311310121312.

It is a super-2 number, since 2×213121013113320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67915284 + ... + 70983996.

It is an arithmetic number, because the mean of its divisors is an integer number (5379378924150).

Almost surely, 2^{213121013113320} is an apocalyptic number.

213121013113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121013113320 is an abundant number, since it is smaller than the sum of its proper divisors (475439489177880).

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

213121013113320 is a wasteful number, since it uses less digits than its factorization.

213121013113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113259 (or 3113255 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 213121013113320 its reverse (23311310121312), we get a palindrome (236432323234632).

The spelling of 213121013113320 in words is "two hundred thirteen trillion, one hundred twenty-one billion, thirteen million, one hundred thirteen thousand, three hundred twenty".