34102400131 has 2 divisors, whose sum is σ = 34102400132. Its totient is φ = 34102400130.

The previous prime is 34102400119. The next prime is 34102400141. The reversal of 34102400131 is 13100420143.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34102400131 - 2²⁷ = 33968182403 is a prime.

It is a super-2 number, since 2×34102400131² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34102400099 and 34102400108.

It is not a weakly prime, because it can be changed into another prime (34102400141) 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 as a sum of consecutive naturals, namely, 17051200065 + 17051200066.

It is an arithmetic number, because the mean of its divisors is an integer number (17051200066).

Almost surely, 2^34102400131 is an apocalyptic number.

34102400131 is a deficient number, since it is larger than the sum of its proper divisors (1).

34102400131 is an equidigital number, since it uses as much as digits as its factorization.

34102400131 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 19.

Adding to 34102400131 its reverse (13100420143), we get a palindrome (47202820274).

The spelling of 34102400131 in words is "thirty-four billion, one hundred two million, four hundred thousand, one hundred thirty-one".