130031130031201 has 12 divisors (see below), whose sum is σ = 151540296955860. Its totient is φ = 111249237183840.

The previous prime is 130031130031183. The next prime is 130031130031219. The reversal of 130031130031201 is 102130031130031.

It is an interprime number because it is at equal distance from previous prime (130031130031183) and next prime (130031130031219).

It can be written as a sum of positive squares in 2 ways, for example, as 103542815008801 + 26488315022400 = 10175599^2 + 5146680^2 .

It is not a de Polignac number, because 130031130031201 - 2¹¹ = 130031130029153 is a prime.

It is a super-2 number, since 2×130031130031201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130031130031261) 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, 2452558086 + ... + 2452611103.

It is an arithmetic number, because the mean of its divisors is an integer number (12628358079655).

Almost surely, 2^{130031130031201} is an apocalyptic number.

It is an amenable number.

130031130031201 is a deficient number, since it is larger than the sum of its proper divisors (21509166924659).

130031130031201 is an equidigital number, since it uses as much as digits as its factorization.

130031130031201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905169744 (or 4905169737 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130031130031201 its reverse (102130031130031), we get a palindrome (232161161161232).

The spelling of 130031130031201 in words is "one hundred thirty trillion, thirty-one billion, one hundred thirty million, thirty-one thousand, two hundred one".