31431313404121 has 2 divisors, whose sum is σ = 31431313404122. Its totient is φ = 31431313404120.

The previous prime is 31431313404107. The next prime is 31431313404133. The reversal of 31431313404121 is 12140431313413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22021996417600 + 9409316986521 = 4692760^2 + 3067461^2 .

It is a cyclic number.

It is not a de Polignac number, because 31431313404121 - 2¹⁷ = 31431313273049 is a prime.

It is not a weakly prime, because it can be changed into another prime (31431313404151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15715656702060 + 15715656702061.

It is an arithmetic number, because the mean of its divisors is an integer number (15715656702061).

Almost surely, 2^{31431313404121} is an apocalyptic number.

It is an amenable number.

31431313404121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31431313404121 is an equidigital number, since it uses as much as digits as its factorization.

31431313404121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 31431313404121 its reverse (12140431313413), we get a palindrome (43571744717534).

The spelling of 31431313404121 in words is "thirty-one trillion, four hundred thirty-one billion, three hundred thirteen million, four hundred four thousand, one hundred twenty-one".