131121321120 has 144 divisors (see below), whose sum is σ = 450415510272. Its totient is φ = 34734067200.

The previous prime is 131121321103. The next prime is 131121321131. The reversal of 131121321120 is 21123121131.

131121321120 is a `hidden beast` number, since 1 + 311 + 21 + 321 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 131121321093 and 131121321102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84072 + ... + 518951.

It is an arithmetic number, because the mean of its divisors is an integer number (3127885488).

Almost surely, 2^131121321120 is an apocalyptic number.

131121321120 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 131121321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225207755136).

131121321120 is an abundant number, since it is smaller than the sum of its proper divisors (319294189152).

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

131121321120 is a wasteful number, since it uses less digits than its factorization.

131121321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603195 (or 603184 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131121321120 its reverse (21123121131), we get a palindrome (152244442251).

The spelling of 131121321120 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty".