131314022401 has 2 divisors, whose sum is σ = 131314022402. Its totient is φ = 131314022400.

The previous prime is 131314022393. The next prime is 131314022407. The reversal of 131314022401 is 104220413131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117566694400 + 13747328001 = 342880^2 + 117249^2 .

It is a cyclic number.

It is not a de Polignac number, because 131314022401 - 2³ = 131314022393 is a prime.

It is not a weakly prime, because it can be changed into another prime (131314022407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65657011200 + 65657011201.

It is an arithmetic number, because the mean of its divisors is an integer number (65657011201).

Almost surely, 2^131314022401 is an apocalyptic number.

It is an amenable number.

131314022401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131314022401 is an equidigital number, since it uses as much as digits as its factorization.

131314022401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131314022401 its reverse (104220413131), we get a palindrome (235534435532).

The spelling of 131314022401 in words is "one hundred thirty-one billion, three hundred fourteen million, twenty-two thousand, four hundred one".