131022720 has 288 divisors, whose sum is σ = 483963480. Its totient is φ = 32643072.

The previous prime is 131022719. The next prime is 131022737. The reversal of 131022720 is 27220131.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 131022693 and 131022702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047019 + ... + 3047061.

Almost surely, 2^131022720 is an apocalyptic number.

131022720 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 131022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241981740).

131022720 is an abundant number, since it is smaller than the sum of its proper divisors (352940760).

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

131022720 is a wasteful number, since it uses less digits than its factorization.

131022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 131022720 is about 11446.5156270369. The cubic root of 131022720 is about 507.9046672534.

Adding to 131022720 its reverse (27220131), we get a palindrome (158242851).

The spelling of 131022720 in words is "one hundred thirty-one million, twenty-two thousand, seven hundred twenty".