10132431120 has 240 divisors, whose sum is σ = 41177185920. Its totient is φ = 2179731456.

The previous prime is 10132431097. The next prime is 10132431187. The reversal of 10132431120 is 2113423101.

10132431120 is a `hidden beast` number, since 10 + 1 + 324 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132431093 and 10132431102.

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, 26551 + ... + 144809.

It is an arithmetic number, because the mean of its divisors is an integer number (171571608).

Almost surely, 2^10132431120 is an apocalyptic number.

10132431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20588592960).

10132431120 is an abundant number, since it is smaller than the sum of its proper divisors (31044754800).

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

10132431120 is a wasteful number, since it uses less digits than its factorization.

10132431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118302 (or 118293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132431120 its reverse (2113423101), we get a palindrome (12245854221).

The spelling of 10132431120 in words is "ten billion, one hundred thirty-two million, four hundred thirty-one thousand, one hundred twenty".