21311111130100 has 72 divisors (see below), whose sum is σ = 53104433911200. Its totient is φ = 7341626793600.

The previous prime is 21311111130079. The next prime is 21311111130109. The reversal of 21311111130100 is 103111111312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311111130109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509814295 + ... + 509856094.

It is an arithmetic number, because the mean of its divisors is an integer number (737561582100).

Almost surely, 2^{21311111130100} is an apocalyptic number.

21311111130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21311111130100 is an abundant number, since it is smaller than the sum of its proper divisors (31793322781100).

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

21311111130100 is a wasteful number, since it uses less digits than its factorization.

21311111130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019670433 (or 1019670426 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 21311111130100 its reverse (103111111312), we get a palindrome (21414222241412).

The spelling of 21311111130100 in words is "twenty-one trillion, three hundred eleven billion, one hundred eleven million, one hundred thirty thousand, one hundred".