131101300211220 has 72 divisors (see below), whose sum is σ = 402142190584680. Its totient is φ = 34567533834240.

The previous prime is 131101300211209. The next prime is 131101300211261. The reversal of 131101300211220 is 22112003101131.

131101300211220 is a `hidden beast` number, since 1 + 31 + 101 + 300 + 2 + 11 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12127569441156 + 118973730770064 = 3482466^2 + 10907508^2 .

It is a super-2 number, since 2×131101300211220² (a number of 29 digits) contains 22 as substring.

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 = 131101300211193 and 131101300211202.

It is a congruent number.

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, 4091784861 + ... + 4091816900.

It is an arithmetic number, because the mean of its divisors is an integer number (5585308202565).

Almost surely, 2^{131101300211220} is an apocalyptic number.

131101300211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101300211220 is an abundant number, since it is smaller than the sum of its proper divisors (271040890373460).

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

131101300211220 is a wasteful number, since it uses less digits than its factorization.

131101300211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183601865 (or 8183601860 counting only the distinct ones).

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

Adding to 131101300211220 its reverse (22112003101131), we get a palindrome (153213303312351).

The spelling of 131101300211220 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred million, two hundred eleven thousand, two hundred twenty".