131141340201102 has 512 divisors, whose sum is σ = 351425135001600. Its totient is φ = 31601788416000.

The previous prime is 131141340201097. The next prime is 131141340201107. The reversal of 131141340201102 is 201102043141131.

It is an interprime number because it is at equal distance from previous prime (131141340201097) and next prime (131141340201107).

It is a super-2 number, since 2×131141340201102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141340201107) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91515240178 + ... + 91515241610.

It is an arithmetic number, because the mean of its divisors is an integer number (686377216800).

Almost surely, 2^{131141340201102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141340201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175712567500800).

131141340201102 is an abundant number, since it is smaller than the sum of its proper divisors (220283794800498).

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

131141340201102 is a wasteful number, since it uses less digits than its factorization.

131141340201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131141340201102 its reverse (201102043141131), we get a palindrome (332243383342233).

The spelling of 131141340201102 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred one thousand, one hundred two".