133034031 has 24 divisors (see below), whose sum is σ = 207894960. Its totient is φ = 81490176.

The previous prime is 133034021. The next prime is 133034117. The reversal of 133034031 is 130430331.

It is not a de Polignac number, because 133034031 - 2¹⁵ = 133001263 is a prime.

It is a super-3 number, since 3×133034031³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133033995 and 133034013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133034021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24055 + ... + 29063.

It is an arithmetic number, because the mean of its divisors is an integer number (8662290).

Almost surely, 2^133034031 is an apocalyptic number.

133034031 is a deficient number, since it is larger than the sum of its proper divisors (74860929).

133034031 is a wasteful number, since it uses less digits than its factorization.

133034031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133034031 is about 11534.0379312711. The cubic root of 133034031 is about 510.4904048722.

Adding to 133034031 its reverse (130430331), we get a palindrome (263464362).

The spelling of 133034031 in words is "one hundred thirty-three million, thirty-four thousand, thirty-one".