1002131223233 has 12 divisors (see below), whose sum is σ = 1205942571540. Its totient is φ = 829349976672.

The previous prime is 1002131223173. The next prime is 1002131223259. The reversal of 1002131223233 is 3323221312001.

It can be written as a sum of positive squares in 2 ways, for example, as 588692511169 + 413438712064 = 767263^2 + 642992^2 .

It is not a de Polignac number, because 1002131223233 - 2¹⁸ = 1002130961089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002131223199 and 1002131223208.

It is not an unprimeable number, because it can be changed into a prime (1002131223263) 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, 352613366 + ... + 352616207.

It is an arithmetic number, because the mean of its divisors is an integer number (100495214295).

Almost surely, 2^{1002131223233} is an apocalyptic number.

It is an amenable number.

1002131223233 is a deficient number, since it is larger than the sum of its proper divisors (203811348307).

1002131223233 is an equidigital number, since it uses as much as digits as its factorization.

1002131223233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705229616 (or 705229609 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1002131223233 its reverse (3323221312001), we get a palindrome (4325352535234).

The spelling of 1002131223233 in words is "one trillion, two billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred thirty-three".