131123311201 has 16 divisors (see below), whose sum is σ = 139253202000. Its totient is φ = 123040051200.

The previous prime is 131123311199. The next prime is 131123311211. The reversal of 131123311201 is 102113321131.

It can be written as a sum of positive squares in 8 ways, for example, as 4279776400 + 126843534801 = 65420^2 + 356151^2 .

It is a cyclic number.

It is not a de Polignac number, because 131123311201 - 2¹ = 131123311199 is a prime.

It is a super-3 number, since 3×131123311201³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131123311211) 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, 18736435 + ... + 18743431.

It is an arithmetic number, because the mean of its divisors is an integer number (8703325125).

Almost surely, 2^131123311201 is an apocalyptic number.

It is an amenable number.

131123311201 is a deficient number, since it is larger than the sum of its proper divisors (8129890799).

131123311201 is a wasteful number, since it uses less digits than its factorization.

131123311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 131123311201 its reverse (102113321131), we get a palindrome (233236632332).

The spelling of 131123311201 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, two hundred one".