31033130112001 has 2 divisors, whose sum is σ = 31033130112002. Its totient is φ = 31033130112000.

The previous prime is 31033130111941. The next prime is 31033130112031. The reversal of 31033130112001 is 10021103133013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29879353372401 + 1153776739600 = 5466201^2 + 1074140^2 .

It is a cyclic number.

It is not a de Polignac number, because 31033130112001 - 2¹³ = 31033130103809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31033130112001.

It is not a weakly prime, because it can be changed into another prime (31033130112031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15516565056000 + 15516565056001.

It is an arithmetic number, because the mean of its divisors is an integer number (15516565056001).

Almost surely, 2^{31033130112001} is an apocalyptic number.

It is an amenable number.

31033130112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31033130112001 is an equidigital number, since it uses as much as digits as its factorization.

31033130112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31033130112001 its reverse (10021103133013), we get a palindrome (41054233245014).

The spelling of 31033130112001 in words is "thirty-one trillion, thirty-three billion, one hundred thirty million, one hundred twelve thousand, one".