131102223120 has 240 divisors, whose sum is σ = 480830867712. Its totient is φ = 31747952640.

The previous prime is 131102223089. The next prime is 131102223181. The reversal of 131102223120 is 21322201131.

131102223120 is a `hidden beast` number, since 131 + 1 + 0 + 222 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131102223093 and 131102223102.

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, 7729369 + ... + 7746311.

Almost surely, 2^131102223120 is an apocalyptic number.

131102223120 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 131102223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240415433856).

131102223120 is an abundant number, since it is smaller than the sum of its proper divisors (349728644592).

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

131102223120 is a wasteful number, since it uses less digits than its factorization.

131102223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131102223120 its reverse (21322201131), we get a palindrome (152424424251).

The spelling of 131102223120 in words is "one hundred thirty-one billion, one hundred two million, two hundred twenty-three thousand, one hundred twenty".