131303112031201 has 16 divisors (see below), whose sum is σ = 148386589641216. Its totient is φ = 115104845520000.

The previous prime is 131303112031153. The next prime is 131303112031297. The reversal of 131303112031201 is 102130211303131.

It is a cyclic number.

It is not a de Polignac number, because 131303112031201 - 2¹⁵ = 131303111998433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131303112031501) 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 15 ways as a sum of consecutive naturals, for example, 685052070 + ... + 685243711.

It is an arithmetic number, because the mean of its divisors is an integer number (9274161852576).

Almost surely, 2^{131303112031201} is an apocalyptic number.

131303112031201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131303112031201 is a deficient number, since it is larger than the sum of its proper divisors (17083477610015).

131303112031201 is a wasteful number, since it uses less digits than its factorization.

131303112031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370296104.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131303112031201 its reverse (102130211303131), we get a palindrome (233433323334332).

The spelling of 131303112031201 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, thirty-one thousand, two hundred one".