1012056221133 has 12 divisors (see below), whose sum is σ = 1471170191868. Its totient is φ = 670406667840.

The previous prime is 1012056221069. The next prime is 1012056221153. The reversal of 1012056221133 is 3311226502101.

1012056221133 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 5 + 622 + 1 + 1 + 33 = 666.

1012056221133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121603546089 + 890452675044 = 348717^2 + 943638^2 .

It is not a de Polignac number, because 1012056221133 - 2⁶ = 1012056221069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012056221097 and 1012056221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012056221153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358121808 + ... + 358124633.

It is an arithmetic number, because the mean of its divisors is an integer number (122597515989).

Almost surely, 2^{1012056221133} is an apocalyptic number.

It is an amenable number.

1012056221133 is a deficient number, since it is larger than the sum of its proper divisors (459113970735).

1012056221133 is a wasteful number, since it uses less digits than its factorization.

1012056221133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716246604 (or 716246601 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1012056221133 in words is "one trillion, twelve billion, fifty-six million, two hundred twenty-one thousand, one hundred thirty-three".