1002201131321 has 6 divisors (see below), whose sum is σ = 1085223710430. Its totient is φ = 925108736448.

The previous prime is 1002201131317. The next prime is 1002201131339. The reversal of 1002201131321 is 1231311022001.

It can be written as a sum of positive squares in 3 ways, for example, as 23842756921 + 978358374400 = 154411^2 + 989120^2 .

It is not a de Polignac number, because 1002201131321 - 2² = 1002201131317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002201131321.

It is not an unprimeable number, because it can be changed into a prime (1002201131311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2965091936 + ... + 2965092273.

It is an arithmetic number, because the mean of its divisors is an integer number (180870618405).

Almost surely, 2^{1002201131321} is an apocalyptic number.

It is an amenable number.

1002201131321 is a deficient number, since it is larger than the sum of its proper divisors (83022579109).

1002201131321 is an equidigital number, since it uses as much as digits as its factorization.

1002201131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930184235 (or 5930184222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1002201131321 its reverse (1231311022001), we get a palindrome (2233512153322).

The spelling of 1002201131321 in words is "one trillion, two billion, two hundred one million, one hundred thirty-one thousand, three hundred twenty-one".