10042321320 has 96 divisors (see below), whose sum is σ = 32650623720. Its totient is φ = 2676879360.

The previous prime is 10042321307. The next prime is 10042321337. The reversal of 10042321320 is 2312324001.

10042321320 is a `hidden beast` number, since 10 + 0 + 423 + 213 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9045151236 + 997170084 = 95106^2 + 31578^2 .

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 = 10042321293 and 10042321302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350252 + ... + 1357668.

Almost surely, 2^10042321320 is an apocalyptic number.

10042321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042321320 is an abundant number, since it is smaller than the sum of its proper divisors (22608302400).

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

10042321320 is a wasteful number, since it uses less digits than its factorization.

10042321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10042321320 its reverse (2312324001), we get a palindrome (12354645321).

The spelling of 10042321320 in words is "ten billion, forty-two million, three hundred twenty-one thousand, three hundred twenty".