131003330031321 has 32 divisors (see below), whose sum is σ = 190749612359040. Its totient is φ = 79312920422400.

The previous prime is 131003330031313. The next prime is 131003330031373. The reversal of 131003330031321 is 123130033300131.

It is not a de Polignac number, because 131003330031321 - 2³ = 131003330031313 is a prime.

It is a super-3 number, since 3×131003330031321³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131003330031291 and 131003330031300.

It is not an unprimeable number, because it can be changed into a prime (131003330031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540078615 + ... + 540321123.

It is an arithmetic number, because the mean of its divisors is an integer number (5960925386220).

Almost surely, 2^{131003330031321} is an apocalyptic number.

131003330031321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131003330031321 is a deficient number, since it is larger than the sum of its proper divisors (59746282327719).

131003330031321 is a wasteful number, since it uses less digits than its factorization.

131003330031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259577.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131003330031321 its reverse (123130033300131), we get a palindrome (254133363331452).

The spelling of 131003330031321 in words is "one hundred thirty-one trillion, three billion, three hundred thirty million, thirty-one thousand, three hundred twenty-one".