131010413331101 has 6 divisors (see below), whose sum is σ = 132689764894302. Its totient is φ = 129352053662520.

The previous prime is 131010413331037. The next prime is 131010413331107. The reversal of 131010413331101 is 101133314010131.

It can be written as a sum of positive squares in only one way, i.e., 87480965971876 + 43529447359225 = 9353126^2 + 6597685^2 .

It is not a de Polignac number, because 131010413331101 - 2⁶ = 131010413331037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010413331107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10495940990 + ... + 10495953471.

It is an arithmetic number, because the mean of its divisors is an integer number (22114960815717).

Almost surely, 2^{131010413331101} is an apocalyptic number.

It is an amenable number.

131010413331101 is a deficient number, since it is larger than the sum of its proper divisors (1679351563201).

131010413331101 is an frugal number, since it uses more digits than its factorization.

131010413331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20991894619 (or 20991894540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 131010413331101 its reverse (101133314010131), we get a palindrome (232143727341232).

The spelling of 131010413331101 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, three hundred thirty-one thousand, one hundred one".