131012224202000 has 80 divisors (see below), whose sum is σ = 317216232278400. Its totient is φ = 52333975843200.

The previous prime is 131012224201997. The next prime is 131012224202003. The reversal of 131012224202000 is 202422210131.

It is an interprime number because it is at equal distance from previous prime (131012224201997) and next prime (131012224202003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131012224202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131012224202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42842780 + ... + 45798779.

It is an arithmetic number, because the mean of its divisors is an integer number (3965202903480).

Almost surely, 2^{131012224202000} is an apocalyptic number.

131012224202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012224202000 is an abundant number, since it is smaller than the sum of its proper divisors (186204008076400).

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

131012224202000 is an equidigital number, since it uses as much as digits as its factorization.

131012224202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88642321 (or 88642305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131012224202000 its reverse (202422210131), we get a palindrome (131214646412131).

The spelling of 131012224202000 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred two thousand".