10001001213 has 48 divisors (see below), whose sum is σ = 17496984960. Its totient is φ = 5373692928.

The previous prime is 10001001203. The next prime is 10001001217. The reversal of 10001001213 is 31210010001.

It is not a de Polignac number, because 10001001213 - 2⁵ = 10001001181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001001195 and 10001001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344681 + ... + 1352097.

It is an arithmetic number, because the mean of its divisors is an integer number (364520520).

Almost surely, 2^10001001213 is an apocalyptic number.

It is an amenable number.

10001001213 is a deficient number, since it is larger than the sum of its proper divisors (7495983747).

10001001213 is a wasteful number, since it uses less digits than its factorization.

10001001213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001001213 its reverse (31210010001), we get a palindrome (41211011214).

The spelling of 10001001213 in words is "ten billion, one million, one thousand, two hundred thirteen".