10132114304 has 128 divisors (see below), whose sum is σ = 22342430880. Its totient is φ = 4547911680.

The previous prime is 10132114301. The next prime is 10132114313. The reversal of 10132114304 is 40341123101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132114301) 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, 11552714 + ... + 11553590.

Almost surely, 2^10132114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171215440).

10132114304 is an abundant number, since it is smaller than the sum of its proper divisors (12210316576).

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

10132114304 is a wasteful number, since it uses less digits than its factorization.

10132114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10132114304 its reverse (40341123101), we get a palindrome (50473237405).

The spelling of 10132114304 in words is "ten billion, one hundred thirty-two million, one hundred fourteen thousand, three hundred four".