131000102400413 has 2 divisors, whose sum is σ = 131000102400414. Its totient is φ = 131000102400412.

The previous prime is 131000102400371. The next prime is 131000102400437. The reversal of 131000102400413 is 314004201000131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72948305196484 + 58051797203929 = 8540978^2 + 7619173^2 .

It is a cyclic number.

It is not a de Polignac number, because 131000102400413 - 2⁸ = 131000102400157 is a prime.

It is a super-2 number, since 2×131000102400413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131000102400463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500051200206 + 65500051200207.

It is an arithmetic number, because the mean of its divisors is an integer number (65500051200207).

Almost surely, 2^{131000102400413} is an apocalyptic number.

It is an amenable number.

131000102400413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131000102400413 is an equidigital number, since it uses as much as digits as its factorization.

131000102400413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131000102400413 its reverse (314004201000131), we get a palindrome (445004303400544).

The spelling of 131000102400413 in words is "one hundred thirty-one trillion, one hundred two million, four hundred thousand, four hundred thirteen".