9002132213310 has 96 divisors (see below), whose sum is σ = 24445552416480. Its totient is φ = 2296100369664.

The previous prime is 9002132213309. The next prime is 9002132213353. The reversal of 9002132213310 is 133122312009.

9002132213310 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 1 + 322 + 1 + 331 + 0 = 666.

It is a super-2 number, since 2×9002132213310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22713217 + ... + 23106156.

It is an arithmetic number, because the mean of its divisors is an integer number (254641171005).

Almost surely, 2^{9002132213310} is an apocalyptic number.

9002132213310 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9002132213310 is an abundant number, since it is smaller than the sum of its proper divisors (15443420203170).

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

9002132213310 is a wasteful number, since it uses less digits than its factorization.

9002132213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45819482 (or 45819479 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 9002132213310 its reverse (133122312009), we get a palindrome (9135254525319).

The spelling of 9002132213310 in words is "nine trillion, two billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred ten".