10020002111113 has 16 divisors (see below), whose sum is σ = 11099418107904. Its totient is φ = 9004818864640.

The previous prime is 10020002111107. The next prime is 10020002111137. The reversal of 10020002111113 is 31111120002001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10020002111113 - 2³⁷ = 9882563157641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020002111093 and 10020002111102.

It is not an unprimeable number, because it can be changed into a prime (10020002111183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152902345 + ... + 152967862.

It is an arithmetic number, because the mean of its divisors is an integer number (693713631744).

Almost surely, 2^{10020002111113} is an apocalyptic number.

It is an amenable number.

10020002111113 is a deficient number, since it is larger than the sum of its proper divisors (1079415996791).

10020002111113 is a wasteful number, since it uses less digits than its factorization.

10020002111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305870312.

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

Adding to 10020002111113 its reverse (31111120002001), we get a palindrome (41131122113114).

It can be divided in two parts, 1002000 and 2111113, that added together give a palindrome (3113113).

The spelling of 10020002111113 in words is "ten trillion, twenty billion, two million, one hundred eleven thousand, one hundred thirteen".