131000321010001 has 12 divisors (see below), whose sum is σ = 132994699175604. Its totient is φ = 129034860645600.

The previous prime is 131000321009959. The next prime is 131000321010071. The reversal of 131000321010001 is 100010123000131.

It can be written as a sum of positive squares in 2 ways, for example, as 64169712360000 + 66830608650001 = 8010600^2 + 8174999^2 .

It is not a de Polignac number, because 131000321010001 - 2²⁹ = 130999784139089 is a prime.

It is a super-2 number, since 2×131000321010001² (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 (131000321010071) 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, 22301610 + ... + 27556531.

It is an arithmetic number, because the mean of its divisors is an integer number (11082891597967).

Almost surely, 2^{131000321010001} is an apocalyptic number.

It is an amenable number.

131000321010001 is a deficient number, since it is larger than the sum of its proper divisors (1994378165603).

131000321010001 is an frugal number, since it uses more digits than its factorization.

131000321010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49858720 (or 49858641 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131000321010001 its reverse (100010123000131), we get a palindrome (231010444010132).

The spelling of 131000321010001 in words is "one hundred thirty-one trillion, three hundred twenty-one million, ten thousand, one".