31283208768001 has 2 divisors, whose sum is σ = 31283208768002. Its totient is φ = 31283208768000.

The previous prime is 31283208767971. The next prime is 31283208768017. The reversal of 31283208768001 is 10086780238213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30350678631025 + 932530136976 = 5509145^2 + 965676^2 .

It is a cyclic number.

It is not a de Polignac number, because 31283208768001 - 2⁷ = 31283208767873 is a prime.

It is not a weakly prime, because it can be changed into another prime (31283808768001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15641604384000 + 15641604384001.

It is an arithmetic number, because the mean of its divisors is an integer number (15641604384001).

Almost surely, 2^{31283208768001} is an apocalyptic number.

It is an amenable number.

31283208768001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31283208768001 is an equidigital number, since it uses as much as digits as its factorization.

31283208768001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 31283208768001 in words is "thirty-one trillion, two hundred eighty-three billion, two hundred eight million, seven hundred sixty-eight thousand, one".