133233320313 has 32 divisors (see below), whose sum is σ = 203155904000. Its totient is φ = 86234658048.

The previous prime is 133233320299. The next prime is 133233320327. The reversal of 133233320313 is 313023332331.

133233320313 is a `hidden beast` number, since 1 + 3 + 3 + 23 + 3 + 320 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (133233320299) and next prime (133233320327).

It is not a de Polignac number, because 133233320313 - 2⁵ = 133233320281 is a prime.

It is a super-2 number, since 2×133233320313² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133233310313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318513 + ... + 606561.

It is an arithmetic number, because the mean of its divisors is an integer number (6348622000).

Almost surely, 2^133233320313 is an apocalyptic number.

It is an amenable number.

133233320313 is a deficient number, since it is larger than the sum of its proper divisors (69922583687).

133233320313 is a wasteful number, since it uses less digits than its factorization.

133233320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288558 (or 288552 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133233320313 its reverse (313023332331), we get a palindrome (446256652644).

The spelling of 133233320313 in words is "one hundred thirty-three billion, two hundred thirty-three million, three hundred twenty thousand, three hundred thirteen".