1011020233320 has 192 divisors, whose sum is σ = 3321745362000. Its totient is φ = 266662809600.

The previous prime is 1011020233283. The next prime is 1011020233331. The reversal of 1011020233320 is 233320201101.

1011020233320 is a `hidden beast` number, since 1 + 0 + 110 + 2 + 0 + 233 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 487067201604 + 523953031716 = 697902^2 + 723846^2 .

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 = 1011020233293 and 1011020233302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36818956 + ... + 36846404.

Almost surely, 2^{1011020233320} is an apocalyptic number.

1011020233320 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 1011020233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660872681000).

1011020233320 is an abundant number, since it is smaller than the sum of its proper divisors (2310725128680).

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

1011020233320 is a wasteful number, since it uses less digits than its factorization.

1011020233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28580 (or 28573 counting only the distinct ones).

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

Adding to 1011020233320 its reverse (233320201101), we get a palindrome (1244340434421).

The spelling of 1011020233320 in words is "one trillion, eleven billion, twenty million, two hundred thirty-three thousand, three hundred twenty".