20010300133007 has 16 divisors (see below), whose sum is σ = 20390314913280. Its totient is φ = 19631654505792.

The previous prime is 20010300132997. The next prime is 20010300133027. The reversal of 20010300133007 is 70033100301002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20010300133007 - 2⁶ = 20010300132943 is a prime.

It is a super-2 number, since 2×20010300133007² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20010300133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010300133027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411515498 + ... + 411564120.

It is an arithmetic number, because the mean of its divisors is an integer number (1274394682080).

Almost surely, 2^{20010300133007} is an apocalyptic number.

20010300133007 is a deficient number, since it is larger than the sum of its proper divisors (380014780273).

20010300133007 is a wasteful number, since it uses less digits than its factorization.

20010300133007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62542.

The product of its (nonzero) digits is 378, while the sum is 20.

Adding to 20010300133007 its reverse (70033100301002), we get a palindrome (90043400434009).

The spelling of 20010300133007 in words is "twenty trillion, ten billion, three hundred million, one hundred thirty-three thousand, seven".