2012330032031 has 144 divisors (see below), whose sum is σ = 2505296102400. Its totient is φ = 1609265750400.

The previous prime is 2012330031979. The next prime is 2012330032039. The reversal of 2012330032031 is 1302300332102.

It is a de Polignac number, because none of the positive numbers 2^k-2012330032031 is a prime.

It is a super-2 number, since 2×2012330032031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012330031994 and 2012330032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012330032039) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8419790810 + ... + 8419791048.

It is an arithmetic number, because the mean of its divisors is an integer number (17397889600).

Almost surely, 2^{2012330032031} is an apocalyptic number.

2012330032031 is a deficient number, since it is larger than the sum of its proper divisors (492966070369).

2012330032031 is a wasteful number, since it uses less digits than its factorization.

2012330032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2012330032031 its reverse (1302300332102), we get a palindrome (3314630364133).

The spelling of 2012330032031 in words is "two trillion, twelve billion, three hundred thirty million, thirty-two thousand, thirty-one".