110212133031 has 192 divisors, whose sum is σ = 223501501440. Its totient is φ = 52112885760.

The previous prime is 110212133011. The next prime is 110212133041. The reversal of 110212133031 is 130331212011.

It is not a de Polignac number, because 110212133031 - 2⁶ = 110212132967 is a prime.

It is a super-2 number, since 2×110212133031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110212132995 and 110212133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212133011) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 25646475 + ... + 25650771.

It is an arithmetic number, because the mean of its divisors is an integer number (1164070320).

Almost surely, 2^110212133031 is an apocalyptic number.

110212133031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110212133031 is an abundant number, since it is smaller than the sum of its proper divisors (113289368409).

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

110212133031 is a wasteful number, since it uses less digits than its factorization.

110212133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4404 counting only the distinct ones).

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

Adding to 110212133031 its reverse (130331212011), we get a palindrome (240543345042).

The spelling of 110212133031 in words is "one hundred ten billion, two hundred twelve million, one hundred thirty-three thousand, thirty-one".