10020023013 has 192 divisors, whose sum is σ = 18997051392. Its totient is φ = 4557047040.

The previous prime is 10020023003. The next prime is 10020023029. The reversal of 10020023013 is 31032002001.

It is a happy number.

It is not a de Polignac number, because 10020023013 - 2⁶ = 10020022949 is a prime.

It is a super-2 number, since 2×10020023013² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10020023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020023003) 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 191 ways as a sum of consecutive naturals, for example, 78897756 + ... + 78897882.

It is an arithmetic number, because the mean of its divisors is an integer number (98942976).

Almost surely, 2^10020023013 is an apocalyptic number.

10020023013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10020023013 is a deficient number, since it is larger than the sum of its proper divisors (8977028379).

10020023013 is a wasteful number, since it uses less digits than its factorization.

10020023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10020023013 its reverse (31032002001), we get a palindrome (41052025014).

The spelling of 10020023013 in words is "ten billion, twenty million, twenty-three thousand, thirteen".