20363135100 has 288 divisors, whose sum is σ = 76651094016. Its totient is φ = 4047225600.

The previous prime is 20363135033. The next prime is 20363135101. The reversal of 20363135100 is 153136302.

It is a happy number.

It is a super-2 number, since 2×20363135100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20363135101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512137 + ... + 550463.

It is an arithmetic number, because the mean of its divisors is an integer number (266149632).

Almost surely, 2^20363135100 is an apocalyptic number.

20363135100 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 20363135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38325547008).

20363135100 is an abundant number, since it is smaller than the sum of its proper divisors (56287958916).

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

20363135100 is a wasteful number, since it uses less digits than its factorization.

20363135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38385 (or 38378 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 20363135100 in words is "twenty billion, three hundred sixty-three million, one hundred thirty-five thousand, one hundred".