1023201013320 has 192 divisors, whose sum is σ = 3337203991680. Its totient is φ = 271886512128.

The previous prime is 1023201013313. The next prime is 1023201013349. The reversal of 1023201013320 is 233101023201.

1023201013320 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 10 + 1 + 332 + 0 = 666.

1023201013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1023201013293 and 1023201013302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307913179 + ... + 307916501.

It is an arithmetic number, because the mean of its divisors is an integer number (17381270790).

Almost surely, 2^{1023201013320} is an apocalyptic number.

1023201013320 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 1023201013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668601995840).

1023201013320 is an abundant number, since it is smaller than the sum of its proper divisors (2314002978360).

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

1023201013320 is a wasteful number, since it uses less digits than its factorization.

1023201013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1023201013320 its reverse (233101023201), we get a palindrome (1256302036521).

The spelling of 1023201013320 in words is "one trillion, twenty-three billion, two hundred one million, thirteen thousand, three hundred twenty".