10020100312013 has 8 divisors (see below), whose sum is σ = 11283632023296. Its totient is φ = 8815337517600.

The previous prime is 10020100311967. The next prime is 10020100312043. The reversal of 10020100312013 is 31021300102001.

10020100312013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10020100312013 - 2²⁰ = 10020099263437 is a prime.

It is a super-2 number, since 2×10020100312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020100312043) 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, 14692228856 + ... + 14692229537.

It is an arithmetic number, because the mean of its divisors is an integer number (1410454002912).

Almost surely, 2^{10020100312013} is an apocalyptic number.

It is an amenable number.

10020100312013 is a deficient number, since it is larger than the sum of its proper divisors (1263531711283).

10020100312013 is a wasteful number, since it uses less digits than its factorization.

10020100312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29384458435.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10020100312013 its reverse (31021300102001), we get a palindrome (41041400414014).

The spelling of 10020100312013 in words is "ten trillion, twenty billion, one hundred million, three hundred twelve thousand, thirteen".