1002040100513 has 2 divisors, whose sum is σ = 1002040100514. Its totient is φ = 1002040100512.

The previous prime is 1002040100507. The next prime is 1002040100519. The reversal of 1002040100513 is 3150010402001.

1002040100513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1002040100507) and next prime (1002040100519).

It can be written as a sum of positive squares in only one way, i.e., 756705132544 + 245334967969 = 869888^2 + 495313^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002040100513 - 2⁴ = 1002040100497 is a prime.

It is a super-2 number, since 2×1002040100513² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002040100491 and 1002040100500.

It is not a weakly prime, because it can be changed into another prime (1002040100519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501020050256 + 501020050257.

It is an arithmetic number, because the mean of its divisors is an integer number (501020050257).

Almost surely, 2^{1002040100513} is an apocalyptic number.

It is an amenable number.

1002040100513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002040100513 is an equidigital number, since it uses as much as digits as its factorization.

1002040100513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 1002040100513 its reverse (3150010402001), we get a palindrome (4152050502514).

The spelling of 1002040100513 in words is "one trillion, two billion, forty million, one hundred thousand, five hundred thirteen".