31431012077 has 2 divisors, whose sum is σ = 31431012078. Its totient is φ = 31431012076.

The previous prime is 31431012031. The next prime is 31431012079. The reversal of 31431012077 is 77021013413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25572487396 + 5858524681 = 159914^2 + 76541^2 .

It is a cyclic number.

It is not a de Polignac number, because 31431012077 - 2⁶ = 31431012013 is a prime.

Together with 31431012079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31431012079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15715506038 + 15715506039.

It is an arithmetic number, because the mean of its divisors is an integer number (15715506039).

Almost surely, 2^31431012077 is an apocalyptic number.

It is an amenable number.

31431012077 is a deficient number, since it is larger than the sum of its proper divisors (1).

31431012077 is an equidigital number, since it uses as much as digits as its factorization.

31431012077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 31431012077 in words is "thirty-one billion, four hundred thirty-one million, twelve thousand, seventy-seven".