3133331201000 has 512 divisors, whose sum is σ = 9888068736000. Its totient is φ = 897495552000.

The previous prime is 3133331200991. The next prime is 3133331201051. The reversal of 3133331201000 is 1021333313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229222166 + ... + 229235834.

It is an arithmetic number, because the mean of its divisors is an integer number (19312634250).

Almost surely, 2^{3133331201000} 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 3133331201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944034368000).

3133331201000 is an abundant number, since it is smaller than the sum of its proper divisors (6754737535000).

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

3133331201000 is a wasteful number, since it uses less digits than its factorization.

3133331201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3133331201000 its reverse (1021333313), we get a palindrome (3134352534313).

The spelling of 3133331201000 in words is "three trillion, one hundred thirty-three billion, three hundred thirty-one million, two hundred one thousand".