131033412401 has 16 divisors (see below), whose sum is σ = 141184662528. Its totient is φ = 121255833600.

The previous prime is 131033412383. The next prime is 131033412403. The reversal of 131033412401 is 104214330131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131033412401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131033412403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2438261 + ... + 2491421.

It is an arithmetic number, because the mean of its divisors is an integer number (8824041408).

Almost surely, 2^131033412401 is an apocalyptic number.

It is an amenable number.

131033412401 is a deficient number, since it is larger than the sum of its proper divisors (10151250127).

131033412401 is a wasteful number, since it uses less digits than its factorization.

131033412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56672.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131033412401 its reverse (104214330131), we get a palindrome (235247742532).

The spelling of 131033412401 in words is "one hundred thirty-one billion, thirty-three million, four hundred twelve thousand, four hundred one".