131202144200420 has 96 divisors (see below), whose sum is σ = 301906923706080. Its totient is φ = 47672282972160.

The previous prime is 131202144200419. The next prime is 131202144200423. The reversal of 131202144200420 is 24002441202131.

It can be written as a sum of positive squares in 16 ways, for example, as 1194579049024 + 130007565151396 = 1092968^2 + 11402086^2 .

It is a super-3 number, since 3×131202144200420³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131202144200420.

It is not an unprimeable number, because it can be changed into a prime (131202144200423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23261300 + ... + 28345940.

It is an arithmetic number, because the mean of its divisors is an integer number (3144863788605).

Almost surely, 2^{131202144200420} is an apocalyptic number.

131202144200420 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 131202144200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150953461853040).

131202144200420 is an abundant number, since it is smaller than the sum of its proper divisors (170704779505660).

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

131202144200420 is a wasteful number, since it uses less digits than its factorization.

131202144200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087313 (or 5087311 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 131202144200420 its reverse (24002441202131), we get a palindrome (155204585402551).

The spelling of 131202144200420 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred forty-four million, two hundred thousand, four hundred twenty".