1328011131029 has 16 divisors (see below), whose sum is σ = 1476156337920. Its totient is φ = 1184437949760.

The previous prime is 1328011130969. The next prime is 1328011131037. The reversal of 1328011131029 is 9201311108231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1328011131029 - 2²⁴ = 1327994353813 is a prime.

It is a super-2 number, since 2×1328011131029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1328011130986 and 1328011131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328011131079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12567587 + ... + 12672815.

It is an arithmetic number, because the mean of its divisors is an integer number (92259771120).

Almost surely, 2^{1328011131029} is an apocalyptic number.

It is an amenable number.

1328011131029 is a deficient number, since it is larger than the sum of its proper divisors (148145206891).

1328011131029 is a wasteful number, since it uses less digits than its factorization.

1328011131029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126940.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 1328011131029 in words is "one trillion, three hundred twenty-eight billion, eleven million, one hundred thirty-one thousand, twenty-nine".