20233101131100 has 648 divisors, whose sum is σ = 74959673023872. Its totient is φ = 4525062796800.

The previous prime is 20233101131063. The next prime is 20233101131141. The reversal of 20233101131100 is 113110133202.

20233101131100 is a `hidden beast` number, since 20 + 2 + 331 + 0 + 1 + 1 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5131395729 + ... + 5131399671.

Almost surely, 2^{20233101131100} is an apocalyptic number.

20233101131100 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 20233101131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37479836511936).

20233101131100 is an abundant number, since it is smaller than the sum of its proper divisors (54726571892772).

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

20233101131100 is a wasteful number, since it uses less digits than its factorization.

20233101131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20233101131100 its reverse (113110133202), we get a palindrome (20346211264302).

The spelling of 20233101131100 in words is "twenty trillion, two hundred thirty-three billion, one hundred one million, one hundred thirty-one thousand, one hundred".