31100101312001 has 2 divisors, whose sum is σ = 31100101312002. Its totient is φ = 31100101312000.

The previous prime is 31100101311997. The next prime is 31100101312057. The reversal of 31100101312001 is 10021310100113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26888580576400 + 4211520735601 = 5185420^2 + 2052199^2 .

It is a cyclic number.

It is not a de Polignac number, because 31100101312001 - 2² = 31100101311997 is a prime.

It is not a weakly prime, because it can be changed into another prime (31100101512001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550050656000 + 15550050656001.

It is an arithmetic number, because the mean of its divisors is an integer number (15550050656001).

Almost surely, 2^{31100101312001} is an apocalyptic number.

It is an amenable number.

31100101312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100101312001 is an equidigital number, since it uses as much as digits as its factorization.

31100101312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 31100101312001 its reverse (10021310100113), we get a palindrome (41121411412114).

It can be divided in two parts, 31100 and 101312001, that added together give a palindrome (101343101).

The spelling of 31100101312001 in words is "thirty-one trillion, one hundred billion, one hundred one million, three hundred twelve thousand, one".