1002011201113 has 16 divisors (see below), whose sum is σ = 1102521434112. Its totient is φ = 905007240000.

The previous prime is 1002011201111. The next prime is 1002011201161. The reversal of 1002011201113 is 3111021102001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1002011201113 - 2¹ = 1002011201111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002011201093 and 1002011201102.

It is not an unprimeable number, because it can be changed into a prime (1002011201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156313 + ... + 3459238.

It is an arithmetic number, because the mean of its divisors is an integer number (68907589632).

Almost surely, 2^{1002011201113} is an apocalyptic number.

1002011201113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002011201113 is a deficient number, since it is larger than the sum of its proper divisors (100510232999).

1002011201113 is a wasteful number, since it uses less digits than its factorization.

1002011201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615816.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1002011201113 its reverse (3111021102001), we get a palindrome (4113032303114).

The spelling of 1002011201113 in words is "one trillion, two billion, eleven million, two hundred one thousand, one hundred thirteen".