131003221120 has 128 divisors (see below), whose sum is σ = 315665683200. Its totient is φ = 51987087360.

The previous prime is 131003221081. The next prime is 131003221147. The reversal of 131003221120 is 21122300131.

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

It is a super-2 number, since 2×131003221120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131003221094 and 131003221103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44572611 + ... + 44575549.

It is an arithmetic number, because the mean of its divisors is an integer number (2466138150).

Almost surely, 2^131003221120 is an apocalyptic number.

131003221120 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 131003221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157832841600).

131003221120 is an abundant number, since it is smaller than the sum of its proper divisors (184662462080).

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

131003221120 is a wasteful number, since it uses less digits than its factorization.

131003221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131003221120 its reverse (21122300131), we get a palindrome (152125521251).

The spelling of 131003221120 in words is "one hundred thirty-one billion, three million, two hundred twenty-one thousand, one hundred twenty".