3331213001000 has 32 divisors (see below), whose sum is σ = 7795038424680. Its totient is φ = 1332485200000.

The previous prime is 3331213000979. The next prime is 3331213001009. The reversal of 3331213001000 is 1003121333.

It can be written as a sum of positive squares in 4 ways, for example, as 1348901062084 + 1982311938916 = 1161422^2 + 1407946^2 .

It is a super-2 number, since 2×3331213001000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3331213001000.

It is not an unprimeable number, because it can be changed into a prime (3331213001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665605501 + ... + 1665607500.

Almost surely, 2^{3331213001000} is an apocalyptic number.

It is an amenable number.

3331213001000 is an abundant number, since it is smaller than the sum of its proper divisors (4463825423680).

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

3331213001000 is a wasteful number, since it uses less digits than its factorization.

3331213001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331213022 (or 3331213008 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 3331213001000 its reverse (1003121333), we get a palindrome (3332216122333).

The spelling of 3331213001000 in words is "three trillion, three hundred thirty-one billion, two hundred thirteen million, one thousand".