10031033022001 has 2 divisors, whose sum is σ = 10031033022002. Its totient is φ = 10031033022000.

The previous prime is 10031033021957. The next prime is 10031033022047. The reversal of 10031033022001 is 10022033013001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6654439344400 + 3376593677601 = 2579620^2 + 1837551^2 .

It is an emirp because it is prime and its reverse (10022033013001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031033022001 - 2¹³ = 10031033013809 is a prime.

It is not a weakly prime, because it can be changed into another prime (10031033022071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015516511000 + 5015516511001.

It is an arithmetic number, because the mean of its divisors is an integer number (5015516511001).

Almost surely, 2^{10031033022001} is an apocalyptic number.

It is an amenable number.

10031033022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031033022001 is an equidigital number, since it uses as much as digits as its factorization.

10031033022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10031033022001 its reverse (10022033013001), we get a palindrome (20053066035002).

The spelling of 10031033022001 in words is "ten trillion, thirty-one billion, thirty-three million, twenty-two thousand, one".