131001101132220 has 288 divisors, whose sum is σ = 436682246757120. Its totient is φ = 31524384384000.

The previous prime is 131001101132201. The next prime is 131001101132249. The reversal of 131001101132220 is 22231101100131.

131001101132220 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 1 + 0 + 1 + 132 + 220 = 666.

It is a super-2 number, since 2×131001101132220² (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 = 131001101132193 and 131001101132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1918524480 + ... + 1918592760.

It is an arithmetic number, because the mean of its divisors is an integer number (1516257801240).

Almost surely, 2^{131001101132220} is an apocalyptic number.

131001101132220 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 131001101132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218341123378560).

131001101132220 is an abundant number, since it is smaller than the sum of its proper divisors (305681145624900).

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

131001101132220 is a wasteful number, since it uses less digits than its factorization.

131001101132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75417 (or 75412 counting only the distinct ones).

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

Adding to 131001101132220 its reverse (22231101100131), we get a palindrome (153232202232351).

The spelling of 131001101132220 in words is "one hundred thirty-one trillion, one billion, one hundred one million, one hundred thirty-two thousand, two hundred twenty".