10012133120964 has 96 divisors (see below), whose sum is σ = 25870318113024. Its totient is φ = 2994090055680.

The previous prime is 10012133120963. The next prime is 10012133121041. The reversal of 10012133120964 is 46902133121001.

It is not an unprimeable number, because it can be changed into a prime (10012133120963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293849 + ... + 4658144.

It is an arithmetic number, because the mean of its divisors is an integer number (269482480344).

Almost surely, 2^{10012133120964} is an apocalyptic number.

It is an amenable number.

10012133120964 is an abundant number, since it is smaller than the sum of its proper divisors (15858184992060).

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

10012133120964 is a wasteful number, since it uses less digits than its factorization.

10012133120964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952317 (or 5952315 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

Adding to 10012133120964 its reverse (46902133121001), we get a palindrome (56914266241965).

The spelling of 10012133120964 in words is "ten trillion, twelve billion, one hundred thirty-three million, one hundred twenty thousand, nine hundred sixty-four".