1013232221001 has 144 divisors (see below), whose sum is σ = 2092084225920. Its totient is φ = 457284372480.

The previous prime is 1013232220993. The next prime is 1013232221011. The reversal of 1013232221001 is 1001222323101.

1013232221001 is a `hidden beast` number, since 1 + 0 + 132 + 322 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 1013232221001 - 2³ = 1013232220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013232221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1736535 + ... + 2245443.

It is an arithmetic number, because the mean of its divisors is an integer number (14528362680).

Almost surely, 2^{1013232221001} is an apocalyptic number.

1013232221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013232221001 is an abundant number, since it is smaller than the sum of its proper divisors (1078852004919).

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

1013232221001 is a wasteful number, since it uses less digits than its factorization.

1013232221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508976 (or 508960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013232221001 its reverse (1001222323101), we get a palindrome (2014454544102).

The spelling of 1013232221001 in words is "one trillion, thirteen billion, two hundred thirty-two million, two hundred twenty-one thousand, one".