1001132213121 has 24 divisors (see below), whose sum is σ = 1510230960576. Its totient is φ = 637862433120.

The previous prime is 1001132213099. The next prime is 1001132213149. The reversal of 1001132213121 is 1213122311001.

It is not a de Polignac number, because 1001132213121 - 2⁹ = 1001132212609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001132213094 and 1001132213103.

It is not an unprimeable number, because it can be changed into a prime (1001132203121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803115 + ... + 2292048.

It is an arithmetic number, because the mean of its divisors is an integer number (62926290024).

Almost surely, 2^{1001132213121} is an apocalyptic number.

It is an amenable number.

1001132213121 is a deficient number, since it is larger than the sum of its proper divisors (509098747455).

1001132213121 is a wasteful number, since it uses less digits than its factorization.

1001132213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096373 (or 4096370 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1001132213121 its reverse (1213122311001), we get a palindrome (2214254524122).

The spelling of 1001132213121 in words is "one trillion, one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty-one".