1022002114013 has 8 divisors (see below), whose sum is σ = 1027331326200. Its totient is φ = 1016673251328.

The previous prime is 1022002113991. The next prime is 1022002114033. The reversal of 1022002114013 is 3104112002201.

It can be written as a sum of positive squares in 4 ways, for example, as 10171327609 + 1011830786404 = 100853^2 + 1005898^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1022002114013 - 2⁶ = 1022002113949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022002113982 and 1022002114000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022002114033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7476443 + ... + 7611911.

It is an arithmetic number, because the mean of its divisors is an integer number (128416415775).

Almost surely, 2^{1022002114013} is an apocalyptic number.

It is an amenable number.

1022002114013 is a deficient number, since it is larger than the sum of its proper divisors (5329212187).

1022002114013 is a wasteful number, since it uses less digits than its factorization.

1022002114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174751.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1022002114013 its reverse (3104112002201), we get a palindrome (4126114116214).

The spelling of 1022002114013 in words is "one trillion, twenty-two billion, two million, one hundred fourteen thousand, thirteen".