1323011311020 has 288 divisors, whose sum is σ = 4730145638400. Its totient is φ = 292995988992.

The previous prime is 1323011311003. The next prime is 1323011311021. The reversal of 1323011311020 is 201131103231.

1323011311020 is a `hidden beast` number, since 1 + 32 + 301 + 1 + 311 + 0 + 20 = 666.

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 = 1323011310984 and 1323011311002.

It is not an unprimeable number, because it can be changed into a prime (1323011311021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11082811 + ... + 11201549.

It is an arithmetic number, because the mean of its divisors is an integer number (16424116800).

Almost surely, 2^{1323011311020} is an apocalyptic number.

1323011311020 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 1323011311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365072819200).

1323011311020 is an abundant number, since it is smaller than the sum of its proper divisors (3407134327380).

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

1323011311020 is a wasteful number, since it uses less digits than its factorization.

1323011311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119037 (or 119032 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1323011311020 its reverse (201131103231), we get a palindrome (1524142414251).

The spelling of 1323011311020 in words is "one trillion, three hundred twenty-three billion, eleven million, three hundred eleven thousand, twenty".