10100020203013 has 8 divisors (see below), whose sum is σ = 11227814022656. Its totient is φ = 9022350553200.

The previous prime is 10100020202999. The next prime is 10100020203023. The reversal of 10100020203013 is 31030202000101.

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 10100020203013 - 2¹⁷ = 10100020071941 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 = 10100020202984 and 10100020203002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100020203023) 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, 12531042033 + ... + 12531042838.

It is an arithmetic number, because the mean of its divisors is an integer number (1403476752832).

Almost surely, 2^{10100020203013} is an apocalyptic number.

10100020203013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100020203013 is a deficient number, since it is larger than the sum of its proper divisors (1127793819643).

10100020203013 is a wasteful number, since it uses less digits than its factorization.

10100020203013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25062084915.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10100020203013 its reverse (31030202000101), we get a palindrome (41130222203114).

The spelling of 10100020203013 in words is "ten trillion, one hundred billion, twenty million, two hundred three thousand, thirteen".