10002132330 has 64 divisors (see below), whose sum is σ = 25093324800. Its totient is φ = 2548503360.

The previous prime is 10002132311. The next prime is 10002132367. The reversal of 10002132330 is 3323120001.

It is a super-2 number, since 2×10002132330² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5401 + ... + 141539.

It is an arithmetic number, because the mean of its divisors is an integer number (392083200).

Almost surely, 2^10002132330 is an apocalyptic number.

10002132330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546662400).

10002132330 is an abundant number, since it is smaller than the sum of its proper divisors (15091192470).

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

10002132330 is a wasteful number, since it uses less digits than its factorization.

10002132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136259.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10002132330 its reverse (3323120001), we get a palindrome (13325252331).

The spelling of 10002132330 in words is "ten billion, two million, one hundred thirty-two thousand, three hundred thirty".