110013311320100 has 144 divisors (see below), whose sum is σ = 250172863911936. Its totient is φ = 41912283600000.

The previous prime is 110013311320009. The next prime is 110013311320153. The reversal of 110013311320100 is 1023113310011.

It is a super-2 number, since 2×110013311320100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2151571535 + ... + 2151622665.

It is an arithmetic number, because the mean of its divisors is an integer number (1737311554944).

Almost surely, 2^{110013311320100} is an apocalyptic number.

110013311320100 is a gapful number since it is divisible by the number (10) 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 110013311320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125086431955968).

110013311320100 is an abundant number, since it is smaller than the sum of its proper divisors (140159552591836).

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

110013311320100 is a wasteful number, since it uses less digits than its factorization.

110013311320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55146 (or 55139 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110013311320100 its reverse (1023113310011), we get a palindrome (111036424630111).

The spelling of 110013311320100 in words is "one hundred ten trillion, thirteen billion, three hundred eleven million, three hundred twenty thousand, one hundred".