131012221400413 has 16 divisors (see below), whose sum is σ = 133228529636400. Its totient is φ = 128798142220800.

The previous prime is 131012221400387. The next prime is 131012221400449. The reversal of 131012221400413 is 314004122210131.

It can be written as a sum of positive squares in 8 ways, for example, as 105797743354809 + 25214478045604 = 10285803^2 + 5021402^2 .

It is a cyclic number.

It is not a de Polignac number, because 131012221400413 - 2²⁹ = 131011684529501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012221400213) 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, 967090503 + ... + 967225963.

It is an arithmetic number, because the mean of its divisors is an integer number (8326783102275).

Almost surely, 2^{131012221400413} is an apocalyptic number.

It is an amenable number.

131012221400413 is a deficient number, since it is larger than the sum of its proper divisors (2216308235987).

131012221400413 is a wasteful number, since it uses less digits than its factorization.

131012221400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143568.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131012221400413 its reverse (314004122210131), we get a palindrome (445016343610544).

The spelling of 131012221400413 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred thousand, four hundred thirteen".