133131111001 has 36 divisors (see below), whose sum is σ = 163702832868. Its totient is φ = 107937071424.

The previous prime is 133131110999. The next prime is 133131111011. The reversal of 133131111001 is 100111131331.

It can be written as a sum of positive squares in 2 ways, for example, as 83680025625 + 49451085376 = 289275^2 + 222376^2 .

It is not a de Polignac number, because 133131111001 - 2¹ = 133131110999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131111011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11969895 + ... + 11981011.

It is an arithmetic number, because the mean of its divisors is an integer number (4547300913).

Almost surely, 2^133131111001 is an apocalyptic number.

It is an amenable number.

133131111001 is a deficient number, since it is larger than the sum of its proper divisors (30571721867).

133131111001 is a wasteful number, since it uses less digits than its factorization.

133131111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 133131111001 its reverse (100111131331), we get a palindrome (233242242332).

The spelling of 133131111001 in words is "one hundred thirty-three billion, one hundred thirty-one million, one hundred eleven thousand, one".