133313131 has 8 divisors (see below), whose sum is σ = 153381600. Its totient is φ = 113500608.

The previous prime is 133313107. The next prime is 133313137. The reversal of 133313131 is 131313331.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133313131 - 2¹⁵ = 133280363 is a prime.

It is a super-2 number, since 2×133313131² = 35544781794046322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133313099 and 133313108.

It is not an unprimeable number, because it can be changed into a prime (133313137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62866 + ... + 64951.

It is an arithmetic number, because the mean of its divisors is an integer number (19172700).

Almost surely, 2^133313131 is an apocalyptic number.

133313131 is a deficient number, since it is larger than the sum of its proper divisors (20068469).

133313131 is a wasteful number, since it uses less digits than its factorization.

133313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127973.

The product of its digits is 243, while the sum is 19.

The square root of 133313131 is about 11546.1305639595. The cubic root of 133313131 is about 510.8471515615.

Adding to 133313131 its reverse (131313331), we get a palindrome (264626462).

The spelling of 133313131 in words is "one hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-one".