3133021000 has 64 divisors (see below), whose sum is σ = 7451598960. Its totient is φ = 1232640000.

The previous prime is 3133020953. The next prime is 3133021007. The reversal of 3133021000 is 1203313.

It can be written as a sum of positive squares in 8 ways, for example, as 516289284 + 2616731716 = 22722^2 + 51154^2 .

It is not an unprimeable number, because it can be changed into a prime (3133021007) 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 15 ways as a sum of consecutive naturals, for example, 35320 + ... + 86680.

Almost surely, 2^3133021000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725799480).

3133021000 is an abundant number, since it is smaller than the sum of its proper divisors (4318577960).

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

3133021000 is a wasteful number, since it uses less digits than its factorization.

3133021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51443 (or 51429 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3133021000 is about 55973.3954660605. The cubic root of 3133021000 is about 1463.2586562325.

Adding to 3133021000 its reverse (1203313), we get a palindrome (3134224313).

The spelling of 3133021000 in words is "three billion, one hundred thirty-three million, twenty-one thousand".