1002010101113 has 48 divisors (see below), whose sum is σ = 1198454621760. Its totient is φ = 834862702464.

The previous prime is 1002010101109. The next prime is 1002010101139. The reversal of 1002010101113 is 3111010102001.

It is a happy number.

It is not a de Polignac number, because 1002010101113 - 2² = 1002010101109 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 = 1002010101094 and 1002010101103.

It is not an unprimeable number, because it can be changed into a prime (1002010101013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518369495 + ... + 518371427.

It is an arithmetic number, because the mean of its divisors is an integer number (24967804620).

Almost surely, 2^{1002010101113} is an apocalyptic number.

It is an amenable number.

1002010101113 is a deficient number, since it is larger than the sum of its proper divisors (196444520647).

1002010101113 is a wasteful number, since it uses less digits than its factorization.

1002010101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1002010101113 its reverse (3111010102001), we get a palindrome (4113020203114).

The spelling of 1002010101113 in words is "one trillion, two billion, ten million, one hundred one thousand, one hundred thirteen".