1011332002320 has 120 divisors (see below), whose sum is σ = 3488184389976. Its totient is φ = 262399647744.

The previous prime is 1011332002301. The next prime is 1011332002327. The reversal of 1011332002320 is 232002331101.

1011332002320 is a `hidden beast` number, since 1 + 0 + 11 + 332 + 0 + 0 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208680857856 + 802651144464 = 456816^2 + 895908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1011332002293 and 1011332002302.

It is not an unprimeable number, because it can be changed into a prime (1011332002327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18954817 + ... + 19008096.

Almost surely, 2^{1011332002320} is an apocalyptic number.

1011332002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011332002320 is an abundant number, since it is smaller than the sum of its proper divisors (2476852387656).

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

1011332002320 is a wasteful number, since it uses less digits than its factorization.

1011332002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37962969 (or 37962960 counting only the distinct ones).

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

Adding to 1011332002320 its reverse (232002331101), we get a palindrome (1243334333421).

The spelling of 1011332002320 in words is "one trillion, eleven billion, three hundred thirty-two million, two thousand, three hundred twenty".