131034433032401 has 16 divisors (see below), whose sum is σ = 132491086120848. Its totient is φ = 129579960729600.

The previous prime is 131034433032353. The next prime is 131034433032413. The reversal of 131034433032401 is 104230334430131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27918531872401 + 103115901160000 = 5283799^2 + 10154600^2 .

It is a cyclic number.

It is not a de Polignac number, because 131034433032401 - 2¹⁰ = 131034433031377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131034433082401) 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, 1258526921 + ... + 1258631033.

It is an arithmetic number, because the mean of its divisors is an integer number (8280692882553).

Almost surely, 2^{131034433032401} is an apocalyptic number.

It is an amenable number.

131034433032401 is a deficient number, since it is larger than the sum of its proper divisors (1456653088447).

131034433032401 is a wasteful number, since it uses less digits than its factorization.

131034433032401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114452.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131034433032401 its reverse (104230334430131), we get a palindrome (235264767462532).

The spelling of 131034433032401 in words is "one hundred thirty-one trillion, thirty-four billion, four hundred thirty-three million, thirty-two thousand, four hundred one".