3331223001000 has 96 divisors (see below), whose sum is σ = 11259533773800. Its totient is φ = 888326131200.

The previous prime is 3331223000993. The next prime is 3331223001047. The reversal of 3331223001000 is 1003221333.

3331223001000 is a `hidden beast` number, since 3 + 331 + 2 + 230 + 0 + 100 + 0 = 666.

3331223001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 800813793924 + 2530409207076 = 894882^2 + 1590726^2 .

It is a super-2 number, since 2×3331223001000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185058945 + ... + 185076944.

Almost surely, 2^{3331223001000} is an apocalyptic number.

3331223001000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331223001000 is an abundant number, since it is smaller than the sum of its proper divisors (7928310772800).

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

3331223001000 is a wasteful number, since it uses less digits than its factorization.

3331223001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370135916 (or 370135899 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3331223001000 its reverse (1003221333), we get a palindrome (3332226222333).

The spelling of 3331223001000 in words is "three trillion, three hundred thirty-one billion, two hundred twenty-three million, one thousand".