133313961 has 16 divisors (see below), whose sum is σ = 194734080. Its totient is φ = 80453520.

The previous prime is 133313933. The next prime is 133313993. The reversal of 133313961 is 169313331.

It is not a de Polignac number, because 133313961 - 2¹⁸ = 133051817 is a prime.

It is a super-2 number, since 2×133313961² = 35545224395019042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133313161) 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, 565 + ... + 16338.

It is an arithmetic number, because the mean of its divisors is an integer number (12170880).

Almost surely, 2^133313961 is an apocalyptic number.

133313961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133313961 is a deficient number, since it is larger than the sum of its proper divisors (61420119).

133313961 is a wasteful number, since it uses less digits than its factorization.

133313961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17156.

The product of its digits is 4374, while the sum is 30.

The square root of 133313961 is about 11546.1665066809. The cubic root of 133313961 is about 510.8482117277.

The spelling of 133313961 in words is "one hundred thirty-three million, three hundred thirteen thousand, nine hundred sixty-one".