131011310112001 has 8 divisors (see below), whose sum is σ = 142926511562784. Its totient is φ = 119096955719520.

The previous prime is 131011310111933. The next prime is 131011310112031. The reversal of 131011310112001 is 100211013110131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131011310112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011310112031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211441156 + ... + 212059861.

It is an arithmetic number, because the mean of its divisors is an integer number (17865813945348).

Almost surely, 2^{131011310112001} is an apocalyptic number.

131011310112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131011310112001 is a deficient number, since it is larger than the sum of its proper divisors (11915201450783).

131011310112001 is a wasteful number, since it uses less digits than its factorization.

131011310112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423529151.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 131011310112001 its reverse (100211013110131), we get a palindrome (231222323222132).

The spelling of 131011310112001 in words is "one hundred thirty-one trillion, eleven billion, three hundred ten million, one hundred twelve thousand, one".