110010131133312 has 128 divisors (see below), whose sum is σ = 292444422278400. Its totient is φ = 36641187614720.

The previous prime is 110010131133311. The next prime is 110010131133347. The reversal of 110010131133312 is 213331131010011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010131133311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5027644612 + ... + 5027666492.

It is an arithmetic number, because the mean of its divisors is an integer number (2284722049050).

Almost surely, 2^{110010131133312} is an apocalyptic number.

110010131133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110010131133312 is an abundant number, since it is smaller than the sum of its proper divisors (182434291145088).

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

110010131133312 is a wasteful number, since it uses less digits than its factorization.

110010131133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31604 (or 31592 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 110010131133312 its reverse (213331131010011), we get a palindrome (323341262143323).

The spelling of 110010131133312 in words is "one hundred ten trillion, ten billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".