131000333114401 has 8 divisors (see below), whose sum is σ = 134206498604808. Its totient is φ = 127794693120000.

The previous prime is 131000333114383. The next prime is 131000333114407. The reversal of 131000333114401 is 104411333000131.

It can be written as a sum of positive squares in 4 ways, for example, as 848194950625 + 130152138163776 = 920975^2 + 11408424^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131000333114401 - 2⁹ = 131000333113889 is a prime.

It is a super-2 number, since 2×131000333114401² (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 (131000333114407) 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, 130869300 + ... + 131866501.

It is an arithmetic number, because the mean of its divisors is an integer number (16775812325601).

Almost surely, 2^{131000333114401} is an apocalyptic number.

It is an amenable number.

131000333114401 is a deficient number, since it is larger than the sum of its proper divisors (3206165490407).

131000333114401 is a wasteful number, since it uses less digits than its factorization.

131000333114401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262748003.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131000333114401 its reverse (104411333000131), we get a palindrome (235411666114532).

The spelling of 131000333114401 in words is "one hundred thirty-one trillion, three hundred thirty-three million, one hundred fourteen thousand, four hundred one".