133000413 has 32 divisors (see below), whose sum is σ = 219453696. Its totient is φ = 69769728.

The previous prime is 133000403. The next prime is 133000423. The reversal of 133000413 is 314000331.

It is an interprime number because it is at equal distance from previous prime (133000403) and next prime (133000423).

It is not a de Polignac number, because 133000413 - 2⁵ = 133000381 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133000392 and 133000401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52545 + ... + 55017.

It is an arithmetic number, because the mean of its divisors is an integer number (6857928).

Almost surely, 2^133000413 is an apocalyptic number.

133000413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133000413 is a deficient number, since it is larger than the sum of its proper divisors (86453283).

133000413 is a wasteful number, since it uses less digits than its factorization.

133000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133000413 is about 11532.5805004778. The cubic root of 133000413 is about 510.4474005569.

Adding to 133000413 its reverse (314000331), we get a palindrome (447000744).

The spelling of 133000413 in words is "one hundred thirty-three million, four hundred thirteen", and thus it is an aban number.