3331010100000 has 576 divisors, whose sum is σ = 12245423992704. Its totient is φ = 785664000000.

The previous prime is 3331010099999. The next prime is 3331010100017. The reversal of 3331010100000 is 10101333.

3331010100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3331010100000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122086360 + ... + 122113640.

It is an arithmetic number, because the mean of its divisors is an integer number (21259416654).

Almost surely, 2^{3331010100000} is an apocalyptic number.

3331010100000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122711996352).

3331010100000 is an abundant number, since it is smaller than the sum of its proper divisors (8914413892704).

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

3331010100000 is a wasteful number, since it uses less digits than its factorization.

3331010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27367 (or 27339 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 3331010100000 its reverse (10101333), we get a palindrome (3331020201333).

The spelling of 3331010100000 in words is "three trillion, three hundred thirty-one billion, ten million, one hundred thousand".