7133335120 has 40 divisors (see below), whose sum is σ = 16856901000. Its totient is φ = 2806556160.

The previous prime is 7133335109. The next prime is 7133335127. The reversal of 7133335120 is 215333317.

It can be written as a sum of positive squares in 4 ways, for example, as 859427856 + 6273907264 = 29316^2 + 79208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×7133335120³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133335127) 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, 725995 + ... + 735754.

It is an arithmetic number, because the mean of its divisors is an integer number (421422525).

Almost surely, 2^7133335120 is an apocalyptic number.

It is an amenable number.

7133335120 is an abundant number, since it is smaller than the sum of its proper divisors (9723565880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7133335120 is a wasteful number, since it uses less digits than its factorization.

7133335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461823 (or 1461817 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 7133335120 is about 84459.0736392485. The cubic root of 7133335120 is about 1925.0006292234. Note that the first 3 decimals are identical.

Adding to 7133335120 its reverse (215333317), we get a palindrome (7348668437).

The spelling of 7133335120 in words is "seven billion, one hundred thirty-three million, three hundred thirty-five thousand, one hundred twenty".