101132103321 has 12 divisors (see below), whose sum is σ = 146118512020. Its totient is φ = 67403491200.

The previous prime is 101132103311. The next prime is 101132103341. The reversal of 101132103321 is 123301231101.

101132103321 is a `hidden beast` number, since 1 + 0 + 11 + 321 + 0 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94578391296 + 6553712025 = 307536^2 + 80955^2 .

It is not a de Polignac number, because 101132103321 - 2⁹ = 101132102809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101132103294 and 101132103303.

It is not an unprimeable number, because it can be changed into a prime (101132103311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1456780 + ... + 1524621.

Almost surely, 2^101132103321 is an apocalyptic number.

It is an amenable number.

101132103321 is a deficient number, since it is larger than the sum of its proper divisors (44986408699).

101132103321 is a wasteful number, since it uses less digits than its factorization.

101132103321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985176 (or 2985173 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101132103321 its reverse (123301231101), we get a palindrome (224433334422).

The spelling of 101132103321 in words is "one hundred one billion, one hundred thirty-two million, one hundred three thousand, three hundred twenty-one".