131010121200020 has 48 divisors (see below), whose sum is σ = 278442717633360. Its totient is φ = 51774352121856.

The previous prime is 131010121200011. The next prime is 131010121200029. The reversal of 131010121200020 is 20002121010131.

It is an interprime number because it is at equal distance from previous prime (131010121200011) and next prime (131010121200029).

It can be written as a sum of positive squares in 8 ways, for example, as 83088256556176 + 47921864643844 = 9115276^2 + 6922562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131010121199968 and 131010121200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010121200029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91894985 + ... + 93309744.

It is an arithmetic number, because the mean of its divisors is an integer number (5800889950695).

Almost surely, 2^{131010121200020} is an apocalyptic number.

131010121200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010121200020 is an abundant number, since it is smaller than the sum of its proper divisors (147432596433340).

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

131010121200020 is a wasteful number, since it uses less digits than its factorization.

131010121200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185205164 (or 185205162 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131010121200020 its reverse (20002121010131), we get a palindrome (151012242210151).

The spelling of 131010121200020 in words is "one hundred thirty-one trillion, ten billion, one hundred twenty-one million, two hundred thousand, twenty".