10331003211012 has 192 divisors, whose sum is σ = 31160345932800. Its totient is φ = 2925255375360.

The previous prime is 10331003210971. The next prime is 10331003211013. The reversal of 10331003211012 is 21011230013301.

10331003211012 is a `hidden beast` number, since 1 + 0 + 331 + 0 + 0 + 321 + 1 + 0 + 12 = 666.

10331003211012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10331003211013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 967183 + ... + 4647305.

It is an arithmetic number, because the mean of its divisors is an integer number (162293468400).

Almost surely, 2^{10331003211012} is an apocalyptic number.

10331003211012 is a gapful number since it is divisible by the number (12) 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 10331003211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580172966400).

10331003211012 is an abundant number, since it is smaller than the sum of its proper divisors (20829342721788).

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

10331003211012 is a wasteful number, since it uses less digits than its factorization.

10331003211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680303 (or 3680295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10331003211012 its reverse (21011230013301), we get a palindrome (31342233224313).

The spelling of 10331003211012 in words is "ten trillion, three hundred thirty-one billion, three million, two hundred eleven thousand, twelve".