1020032133129 has 12 divisors (see below), whose sum is σ = 1520908127232. Its totient is φ = 658085247000.

The previous prime is 1020032133101. The next prime is 1020032133161. The reversal of 1020032133129 is 9213312300201.

1020032133129 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 321 + 331 + 2 + 9 = 666.

It is not a de Polignac number, because 1020032133129 - 2¹² = 1020032129033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020032137129) 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, 1828014297 + ... + 1828014854.

It is an arithmetic number, because the mean of its divisors is an integer number (126742343936).

Almost surely, 2^{1020032133129} is an apocalyptic number.

It is an amenable number.

1020032133129 is a deficient number, since it is larger than the sum of its proper divisors (500875994103).

1020032133129 is a wasteful number, since it uses less digits than its factorization.

1020032133129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656029188 (or 3656029185 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1020032133129 in words is "one trillion, twenty billion, thirty-two million, one hundred thirty-three thousand, one hundred twenty-nine".