21213001121310 has 96 divisors (see below), whose sum is σ = 56712782262240. Its totient is φ = 5497273868544.

The previous prime is 21213001121287. The next prime is 21213001121311. The reversal of 21213001121310 is 1312110031212.

21213001121310 is a `hidden beast` number, since 2 + 1 + 21 + 300 + 11 + 21 + 310 = 666.

It is a super-2 number, since 2×21213001121310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213001121311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1081572 + ... + 6602711.

It is an arithmetic number, because the mean of its divisors is an integer number (590758148565).

Almost surely, 2^{21213001121310} is an apocalyptic number.

21213001121310 is an abundant number, since it is smaller than the sum of its proper divisors (35499781140930).

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

21213001121310 is a wasteful number, since it uses less digits than its factorization.

21213001121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685162 (or 7685159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21213001121310 its reverse (1312110031212), we get a palindrome (22525111152522).

The spelling of 21213001121310 in words is "twenty-one trillion, two hundred thirteen billion, one million, one hundred twenty-one thousand, three hundred ten".