131001200330313 has 32 divisors (see below), whose sum is σ = 177238352448000. Its totient is φ = 86056247552000.

The previous prime is 131001200330219. The next prime is 131001200330317. The reversal of 131001200330313 is 313033002100131.

It is a cyclic number.

It is not a de Polignac number, because 131001200330313 - 2¹⁶ = 131001200264777 is a prime.

It is a super-2 number, since 2×131001200330313² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131001200330313.

It is not an unprimeable number, because it can be changed into a prime (131001200330317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113021488 + ... + 114174686.

It is an arithmetic number, because the mean of its divisors is an integer number (5538698514000).

Almost surely, 2^{131001200330313} is an apocalyptic number.

It is an amenable number.

131001200330313 is a deficient number, since it is larger than the sum of its proper divisors (46237152117687).

131001200330313 is a wasteful number, since it uses less digits than its factorization.

131001200330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154753.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131001200330313 its reverse (313033002100131), we get a palindrome (444034202430444).

The spelling of 131001200330313 in words is "one hundred thirty-one trillion, one billion, two hundred million, three hundred thirty thousand, three hundred thirteen".