20205675313100 has 72 divisors (see below), whose sum is σ = 44956841723808. Its totient is φ = 7877925619200.

The previous prime is 20205675313099. The next prime is 20205675313171. The reversal of 20205675313100 is 131357650202.

It is a super-2 number, since 2×20205675313100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226857 + ... + 6735743.

Almost surely, 2^{20205675313100} is an apocalyptic number.

20205675313100 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 20205675313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478420861904).

20205675313100 is an abundant number, since it is smaller than the sum of its proper divisors (24751166410708).

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

20205675313100 is a wasteful number, since it uses less digits than its factorization.

20205675313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510035 (or 4510028 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 20205675313100 in words is "twenty trillion, two hundred five billion, six hundred seventy-five million, three hundred thirteen thousand, one hundred".