31231123001257 has 2 divisors, whose sum is σ = 31231123001258. Its totient is φ = 31231123001256.

The previous prime is 31231123001249. The next prime is 31231123001341. The reversal of 31231123001257 is 75210032113213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28552126609561 + 2678996391696 = 5343419^2 + 1636764^2 .

It is an emirp because it is prime and its reverse (75210032113213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31231123001257 - 2³ = 31231123001249 is a prime.

It is not a weakly prime, because it can be changed into another prime (31231123031257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15615561500628 + 15615561500629.

It is an arithmetic number, because the mean of its divisors is an integer number (15615561500629).

Almost surely, 2^{31231123001257} is an apocalyptic number.

It is an amenable number.

31231123001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

31231123001257 is an equidigital number, since it uses as much as digits as its factorization.

31231123001257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 31231123001257 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred twenty-three million, one thousand, two hundred fifty-seven".