110013131000 has 64 divisors (see below), whose sum is σ = 257696506080. Its totient is φ = 43959820800.

The previous prime is 110013130993. The next prime is 110013131017. The reversal of 110013131000 is 131310011.

It is a happy number.

It is a super-2 number, since 2×110013131000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920699 + ... + 1033301.

Almost surely, 2^110013131000 is an apocalyptic number.

110013131000 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 110013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848253040).

110013131000 is an abundant number, since it is smaller than the sum of its proper divisors (147683375080).

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

110013131000 is a wasteful number, since it uses less digits than its factorization.

110013131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113601 (or 113587 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 110013131000 its reverse (131310011), we get a palindrome (110144441011).

It can be divided in two parts, 1 and 10013131000, that added together give a palindrome (10013131001).

The spelling of 110013131000 in words is "one hundred ten billion, thirteen million, one hundred thirty-one thousand".