1321020213120 has 640 divisors, whose sum is σ = 5212366251840. Its totient is φ = 317130080256.

The previous prime is 1321020213113. The next prime is 1321020213131. The reversal of 1321020213120 is 213120201231.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1321020213120² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1321020213093 and 1321020213102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20236854 + ... + 20302026.

Almost surely, 2^{1321020213120} is an apocalyptic number.

1321020213120 is a gapful number since it is divisible by the number (10) 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 1321020213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606183125920).

1321020213120 is an abundant number, since it is smaller than the sum of its proper divisors (3891346038720).

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

1321020213120 is a wasteful number, since it uses less digits than its factorization.

1321020213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65244 (or 65223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321020213120 its reverse (213120201231), we get a palindrome (1534140414351).

The spelling of 1321020213120 in words is "one trillion, three hundred twenty-one billion, twenty million, two hundred thirteen thousand, one hundred twenty".