20013013010100 has 432 divisors, whose sum is σ = 65704579012800. Its totient is φ = 4664086425600.

The previous prime is 20013013010087. The next prime is 20013013010113. The reversal of 20013013010100 is 101031031002.

It is an interprime number because it is at equal distance from previous prime (20013013010087) and next prime (20013013010113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 646629426 + ... + 646660374.

It is an arithmetic number, because the mean of its divisors is an integer number (152093932900).

Almost surely, 2^{20013013010100} is an apocalyptic number.

20013013010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013013010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32852289506400).

20013013010100 is an abundant number, since it is smaller than the sum of its proper divisors (45691566002700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20013013010100 is a wasteful number, since it uses less digits than its factorization.

20013013010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31268 (or 31232 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 20013013010100 its reverse (101031031002), we get a palindrome (20114044041102).

The spelling of 20013013010100 in words is "twenty trillion, thirteen billion, thirteen million, ten thousand, one hundred".