31006478201 has 2 divisors, whose sum is σ = 31006478202. Its totient is φ = 31006478200.

The previous prime is 31006478197. The next prime is 31006478203. The reversal of 31006478201 is 10287460013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23081205625 + 7925272576 = 151925^2 + 89024^2 .

It is a cyclic number.

It is not a de Polignac number, because 31006478201 - 2² = 31006478197 is a prime.

It is a super-2 number, since 2×31006478201² (a number of 22 digits) contains 22 as substring.

Together with 31006478203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31006478203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15503239100 + 15503239101.

It is an arithmetic number, because the mean of its divisors is an integer number (15503239101).

Almost surely, 2^31006478201 is an apocalyptic number.

It is an amenable number.

31006478201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31006478201 is an equidigital number, since it uses as much as digits as its factorization.

31006478201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 31006478201 in words is "thirty-one billion, six million, four hundred seventy-eight thousand, two hundred one".